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Finding the Fourth Proportional to 21,689.78, 29,931.09 and 12,258.14

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Solution

The fourth proportional to 21,689.78, 29,931.09 and 12,258.14 is: 16,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.78 : 29,931.09 = 12,258.14 : x
  2. Step 2: Convert to fraction form
    21,689.78/29,931.09 = 12,258.14/x
  3. Step 3: Cross multiply
    21,689.78x = 29,931.09 × 12,258.14
  4. Step 4: Simplify right side
    21,689.78x = 366,899,491.57
  5. Step 5: Solve for x
    x = 366,899,491.57/21,689.78
  6. Step 6: Final answer
    x = 16,915.78

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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.