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Finding the Fourth Proportional to 7,011.52, 10,502.70 and 5,136.10

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Solution

The fourth proportional to 7,011.52, 10,502.70 and 5,136.10 is: 7,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.52 : 10,502.70 = 5,136.10 : x
  2. Step 2: Convert to fraction form
    7,011.52/10,502.70 = 5,136.10/x
  3. Step 3: Cross multiply
    7,011.52x = 10,502.70 × 5,136.10
  4. Step 4: Simplify right side
    7,011.52x = 53,942,917.47
  5. Step 5: Solve for x
    x = 53,942,917.47/7,011.52
  6. Step 6: Final answer
    x = 7,693.47

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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.