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Finding the Fourth Proportional to 10,154.64, 15,230.10 and 4,606.65

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Solution

The fourth proportional to 10,154.64, 15,230.10 and 4,606.65 is: 6,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.64 : 15,230.10 = 4,606.65 : x
  2. Step 2: Convert to fraction form
    10,154.64/15,230.10 = 4,606.65/x
  3. Step 3: Cross multiply
    10,154.64x = 15,230.10 × 4,606.65
  4. Step 4: Simplify right side
    10,154.64x = 70,159,740.17
  5. Step 5: Solve for x
    x = 70,159,740.17/10,154.64
  6. Step 6: Final answer
    x = 6,909.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.