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Finding the Fourth Proportional to 3,140.56, 4,710.74 and 800.55

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Solution

The fourth proportional to 3,140.56, 4,710.74 and 800.55 is: 1,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.56 : 4,710.74 = 800.55 : x
  2. Step 2: Convert to fraction form
    3,140.56/4,710.74 = 800.55/x
  3. Step 3: Cross multiply
    3,140.56x = 4,710.74 × 800.55
  4. Step 4: Simplify right side
    3,140.56x = 3,771,184.91
  5. Step 5: Solve for x
    x = 3,771,184.91/3,140.56
  6. Step 6: Final answer
    x = 1,200.80

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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.