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Finding the Fourth Proportional to 15,769.90, 21,761.76 and 8,695.90

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Solution

The fourth proportional to 15,769.90, 21,761.76 and 8,695.90 is: 11,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.90 : 21,761.76 = 8,695.90 : x
  2. Step 2: Convert to fraction form
    15,769.90/21,761.76 = 8,695.90/x
  3. Step 3: Cross multiply
    15,769.90x = 21,761.76 × 8,695.90
  4. Step 4: Simplify right side
    15,769.90x = 189,238,088.78
  5. Step 5: Solve for x
    x = 189,238,088.78/15,769.90
  6. Step 6: Final answer
    x = 11,999.95

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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.