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Finding the Fourth Proportional to 21,478, 29,640.56 and 13,416.40

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Solution

The fourth proportional to 21,478, 29,640.56 and 13,416.40 is: 18,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478 : 29,640.56 = 13,416.40 : x
  2. Step 2: Convert to fraction form
    21,478/29,640.56 = 13,416.40/x
  3. Step 3: Cross multiply
    21,478x = 29,640.56 × 13,416.40
  4. Step 4: Simplify right side
    21,478x = 397,669,609.18
  5. Step 5: Solve for x
    x = 397,669,609.18/21,478
  6. Step 6: Final answer
    x = 18,515.21

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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.