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Finding the Fourth Proportional to 10,070.20, 15,107.70 and 5,140.60

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Solution

The fourth proportional to 10,070.20, 15,107.70 and 5,140.60 is: 7,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.20 : 15,107.70 = 5,140.60 : x
  2. Step 2: Convert to fraction form
    10,070.20/15,107.70 = 5,140.60/x
  3. Step 3: Cross multiply
    10,070.20x = 15,107.70 × 5,140.60
  4. Step 4: Simplify right side
    10,070.20x = 77,662,642.62
  5. Step 5: Solve for x
    x = 77,662,642.62/10,070.20
  6. Step 6: Final answer
    x = 7,712.13

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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.