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Finding the Fourth Proportional to 10,330, 15,551.21 and 9,411.46

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Solution

The fourth proportional to 10,330, 15,551.21 and 9,411.46 is: 14,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330 : 15,551.21 = 9,411.46 : x
  2. Step 2: Convert to fraction form
    10,330/15,551.21 = 9,411.46/x
  3. Step 3: Cross multiply
    10,330x = 15,551.21 × 9,411.46
  4. Step 4: Simplify right side
    10,330x = 146,359,590.87
  5. Step 5: Solve for x
    x = 146,359,590.87/10,330
  6. Step 6: Final answer
    x = 14,168.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.