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Finding the Fourth Proportional to 14,665.17, 20,230.50 and 9,278.57

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Solution

The fourth proportional to 14,665.17, 20,230.50 and 9,278.57 is: 12,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.17 : 20,230.50 = 9,278.57 : x
  2. Step 2: Convert to fraction form
    14,665.17/20,230.50 = 9,278.57/x
  3. Step 3: Cross multiply
    14,665.17x = 20,230.50 × 9,278.57
  4. Step 4: Simplify right side
    14,665.17x = 187,710,009.23
  5. Step 5: Solve for x
    x = 187,710,009.23/14,665.17
  6. Step 6: Final answer
    x = 12,799.72

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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.