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Finding the Fourth Proportional to 15,527, 23,294.14 and 5,138.76

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Solution

The fourth proportional to 15,527, 23,294.14 and 5,138.76 is: 7,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527 : 23,294.14 = 5,138.76 : x
  2. Step 2: Convert to fraction form
    15,527/23,294.14 = 5,138.76/x
  3. Step 3: Cross multiply
    15,527x = 23,294.14 × 5,138.76
  4. Step 4: Simplify right side
    15,527x = 119,702,994.87
  5. Step 5: Solve for x
    x = 119,702,994.87/15,527
  6. Step 6: Final answer
    x = 7,709.34

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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.