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Finding the Fourth Proportional to 11,575.87, 15,978.77 and 7,038.61

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Solution

The fourth proportional to 11,575.87, 15,978.77 and 7,038.61 is: 9,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.87 : 15,978.77 = 7,038.61 : x
  2. Step 2: Convert to fraction form
    11,575.87/15,978.77 = 7,038.61/x
  3. Step 3: Cross multiply
    11,575.87x = 15,978.77 × 7,038.61
  4. Step 4: Simplify right side
    11,575.87x = 112,468,330.31
  5. Step 5: Solve for x
    x = 112,468,330.31/11,575.87
  6. Step 6: Final answer
    x = 9,715.76

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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.