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Finding the Fourth Proportional to 21,677.76, 32,511.74 and 12,915.16

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Solution

The fourth proportional to 21,677.76, 32,511.74 and 12,915.16 is: 19,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.76 : 32,511.74 = 12,915.16 : x
  2. Step 2: Convert to fraction form
    21,677.76/32,511.74 = 12,915.16/x
  3. Step 3: Cross multiply
    21,677.76x = 32,511.74 × 12,915.16
  4. Step 4: Simplify right side
    21,677.76x = 419,894,323.98
  5. Step 5: Solve for x
    x = 419,894,323.98/21,677.76
  6. Step 6: Final answer
    x = 19,369.82

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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.