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Finding the Fourth Proportional to 15,847.32, 21,867.78 and 9,472.65

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Solution

The fourth proportional to 15,847.32, 21,867.78 and 9,472.65 is: 13,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.32 : 21,867.78 = 9,472.65 : x
  2. Step 2: Convert to fraction form
    15,847.32/21,867.78 = 9,472.65/x
  3. Step 3: Cross multiply
    15,847.32x = 21,867.78 × 9,472.65
  4. Step 4: Simplify right side
    15,847.32x = 207,145,826.22
  5. Step 5: Solve for x
    x = 207,145,826.22/15,847.32
  6. Step 6: Final answer
    x = 13,071.35

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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.