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Finding the Fourth Proportional to 3,642.30, 5,113.80 and 3,642.30

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Solution

The fourth proportional to 3,642.30, 5,113.80 and 3,642.30 is: 5,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.30 : 5,113.80 = 3,642.30 : x
  2. Step 2: Convert to fraction form
    3,642.30/5,113.80 = 3,642.30/x
  3. Step 3: Cross multiply
    3,642.30x = 5,113.80 × 3,642.30
  4. Step 4: Simplify right side
    3,642.30x = 18,625,993.74
  5. Step 5: Solve for x
    x = 18,625,993.74/3,642.30
  6. Step 6: Final answer
    x = 5,113.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.