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Finding the Fourth Proportional to 21,454.92, 32,156.46 and 9,117

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Solution

The fourth proportional to 21,454.92, 32,156.46 and 9,117 is: 13,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.92 : 32,156.46 = 9,117 : x
  2. Step 2: Convert to fraction form
    21,454.92/32,156.46 = 9,117/x
  3. Step 3: Cross multiply
    21,454.92x = 32,156.46 × 9,117
  4. Step 4: Simplify right side
    21,454.92x = 293,170,445.82
  5. Step 5: Solve for x
    x = 293,170,445.82/21,454.92
  6. Step 6: Final answer
    x = 13,664.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.