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Finding the Fourth Proportional to 7,894.24, 11,854.80 and 7,564

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Solution

The fourth proportional to 7,894.24, 11,854.80 and 7,564 is: 11,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.24 : 11,854.80 = 7,564 : x
  2. Step 2: Convert to fraction form
    7,894.24/11,854.80 = 7,564/x
  3. Step 3: Cross multiply
    7,894.24x = 11,854.80 × 7,564
  4. Step 4: Simplify right side
    7,894.24x = 89,669,707.20
  5. Step 5: Solve for x
    x = 89,669,707.20/7,894.24
  6. Step 6: Final answer
    x = 11,358.88

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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.