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Finding the Fourth Proportional to 15,780, 23,667.20 and 5,248.96

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Solution

The fourth proportional to 15,780, 23,667.20 and 5,248.96 is: 7,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780 : 23,667.20 = 5,248.96 : x
  2. Step 2: Convert to fraction form
    15,780/23,667.20 = 5,248.96/x
  3. Step 3: Cross multiply
    15,780x = 23,667.20 × 5,248.96
  4. Step 4: Simplify right side
    15,780x = 124,228,186.11
  5. Step 5: Solve for x
    x = 124,228,186.11/15,780
  6. Step 6: Final answer
    x = 7,872.51

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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.