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Finding the Fourth Proportional to 9,680, 13,358.52 and 5,264

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Solution

The fourth proportional to 9,680, 13,358.52 and 5,264 is: 7,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 13,358.52 = 5,264 : x
  2. Step 2: Convert to fraction form
    9,680/13,358.52 = 5,264/x
  3. Step 3: Cross multiply
    9,680x = 13,358.52 × 5,264
  4. Step 4: Simplify right side
    9,680x = 70,319,249.28
  5. Step 5: Solve for x
    x = 70,319,249.28/9,680
  6. Step 6: Final answer
    x = 7,264.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.