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Finding the Fourth Proportional to 7,656, 10,565.28 and 4,344

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Solution

The fourth proportional to 7,656, 10,565.28 and 4,344 is: 5,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 10,565.28 = 4,344 : x
  2. Step 2: Convert to fraction form
    7,656/10,565.28 = 4,344/x
  3. Step 3: Cross multiply
    7,656x = 10,565.28 × 4,344
  4. Step 4: Simplify right side
    7,656x = 45,895,576.32
  5. Step 5: Solve for x
    x = 45,895,576.32/7,656
  6. Step 6: Final answer
    x = 5,994.72

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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.