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Finding the Fourth Proportional to 14,977.92, 20,664.70 and 9,943.11

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Solution

The fourth proportional to 14,977.92, 20,664.70 and 9,943.11 is: 13,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.92 : 20,664.70 = 9,943.11 : x
  2. Step 2: Convert to fraction form
    14,977.92/20,664.70 = 9,943.11/x
  3. Step 3: Cross multiply
    14,977.92x = 20,664.70 × 9,943.11
  4. Step 4: Simplify right side
    14,977.92x = 205,471,390.11
  5. Step 5: Solve for x
    x = 205,471,390.11/14,977.92
  6. Step 6: Final answer
    x = 13,718.29

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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.