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Finding the Fourth Proportional to 10,302.13, 15,450 and 5,369.14

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Solution

The fourth proportional to 10,302.13, 15,450 and 5,369.14 is: 8,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.13 : 15,450 = 5,369.14 : x
  2. Step 2: Convert to fraction form
    10,302.13/15,450 = 5,369.14/x
  3. Step 3: Cross multiply
    10,302.13x = 15,450 × 5,369.14
  4. Step 4: Simplify right side
    10,302.13x = 82,953,213
  5. Step 5: Solve for x
    x = 82,953,213/10,302.13
  6. Step 6: Final answer
    x = 8,052.04

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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.