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Finding the Fourth Proportional to 15,047.64, 20,766.50 and 8,334

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Solution

The fourth proportional to 15,047.64, 20,766.50 and 8,334 is: 11,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.64 : 20,766.50 = 8,334 : x
  2. Step 2: Convert to fraction form
    15,047.64/20,766.50 = 8,334/x
  3. Step 3: Cross multiply
    15,047.64x = 20,766.50 × 8,334
  4. Step 4: Simplify right side
    15,047.64x = 173,068,011
  5. Step 5: Solve for x
    x = 173,068,011/15,047.64
  6. Step 6: Final answer
    x = 11,501.34

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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.