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Finding the Fourth Proportional to 3,641.55, 5,462.87 and 1,175.55

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Solution

The fourth proportional to 3,641.55, 5,462.87 and 1,175.55 is: 1,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.55 : 5,462.87 = 1,175.55 : x
  2. Step 2: Convert to fraction form
    3,641.55/5,462.87 = 1,175.55/x
  3. Step 3: Cross multiply
    3,641.55x = 5,462.87 × 1,175.55
  4. Step 4: Simplify right side
    3,641.55x = 6,421,870.95
  5. Step 5: Solve for x
    x = 6,421,870.95/3,641.55
  6. Step 6: Final answer
    x = 1,763.50

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Half scale
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Double scale
Find fourth proportional to 3,642.55, 5,464.37 and 1,176.55
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.