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Finding the Fourth Proportional to 7,752.53, 10,700.19 and 5,100.20

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Solution

The fourth proportional to 7,752.53, 10,700.19 and 5,100.20 is: 7,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.53 : 10,700.19 = 5,100.20 : x
  2. Step 2: Convert to fraction form
    7,752.53/10,700.19 = 5,100.20/x
  3. Step 3: Cross multiply
    7,752.53x = 10,700.19 × 5,100.20
  4. Step 4: Simplify right side
    7,752.53x = 54,573,109.04
  5. Step 5: Solve for x
    x = 54,573,109.04/7,752.53
  6. Step 6: Final answer
    x = 7,039.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.