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Finding the Fourth Proportional to 10,730, 14,791.16 and 9,229.92

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Solution

The fourth proportional to 10,730, 14,791.16 and 9,229.92 is: 12,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730 : 14,791.16 = 9,229.92 : x
  2. Step 2: Convert to fraction form
    10,730/14,791.16 = 9,229.92/x
  3. Step 3: Cross multiply
    10,730x = 14,791.16 × 9,229.92
  4. Step 4: Simplify right side
    10,730x = 136,521,223.51
  5. Step 5: Solve for x
    x = 136,521,223.51/10,730
  6. Step 6: Final answer
    x = 12,723.32

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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.