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Finding the Fourth Proportional to 15,565.15, 21,480 and 8,491.57

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Solution

The fourth proportional to 15,565.15, 21,480 and 8,491.57 is: 11,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,565.15 : 21,480 = 8,491.57 : x
  2. Step 2: Convert to fraction form
    15,565.15/21,480 = 8,491.57/x
  3. Step 3: Cross multiply
    15,565.15x = 21,480 × 8,491.57
  4. Step 4: Simplify right side
    15,565.15x = 182,398,923.60
  5. Step 5: Solve for x
    x = 182,398,923.60/15,565.15
  6. Step 6: Final answer
    x = 11,718.42

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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.