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Finding the Fourth Proportional to 7,387.87, 11,038.54 and 7,129.48

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Solution

The fourth proportional to 7,387.87, 11,038.54 and 7,129.48 is: 10,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.87 : 11,038.54 = 7,129.48 : x
  2. Step 2: Convert to fraction form
    7,387.87/11,038.54 = 7,129.48/x
  3. Step 3: Cross multiply
    7,387.87x = 11,038.54 × 7,129.48
  4. Step 4: Simplify right side
    7,387.87x = 78,699,050.16
  5. Step 5: Solve for x
    x = 78,699,050.16/7,387.87
  6. Step 6: Final answer
    x = 10,652.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.