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Finding the Fourth Proportional to 10,172, 15,256.20 and 4,624.04

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Solution

The fourth proportional to 10,172, 15,256.20 and 4,624.04 is: 6,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172 : 15,256.20 = 4,624.04 : x
  2. Step 2: Convert to fraction form
    10,172/15,256.20 = 4,624.04/x
  3. Step 3: Cross multiply
    10,172x = 15,256.20 × 4,624.04
  4. Step 4: Simplify right side
    10,172x = 70,545,279.05
  5. Step 5: Solve for x
    x = 70,545,279.05/10,172
  6. Step 6: Final answer
    x = 6,935.24

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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.