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Finding the Fourth Proportional to 15,114.40, 20,857.76 and 8,400.64

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Solution

The fourth proportional to 15,114.40, 20,857.76 and 8,400.64 is: 11,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.40 : 20,857.76 = 8,400.64 : x
  2. Step 2: Convert to fraction form
    15,114.40/20,857.76 = 8,400.64/x
  3. Step 3: Cross multiply
    15,114.40x = 20,857.76 × 8,400.64
  4. Step 4: Simplify right side
    15,114.40x = 175,218,532.97
  5. Step 5: Solve for x
    x = 175,218,532.97/15,114.40
  6. Step 6: Final answer
    x = 11,592.82

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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.