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Finding the Fourth Proportional to 7,060.80, 9,732.16 and 4,961.28

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Solution

The fourth proportional to 7,060.80, 9,732.16 and 4,961.28 is: 6,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,060.80 : 9,732.16 = 4,961.28 : x
  2. Step 2: Convert to fraction form
    7,060.80/9,732.16 = 4,961.28/x
  3. Step 3: Cross multiply
    7,060.80x = 9,732.16 × 4,961.28
  4. Step 4: Simplify right side
    7,060.80x = 48,283,970.76
  5. Step 5: Solve for x
    x = 48,283,970.76/7,060.80
  6. Step 6: Final answer
    x = 6,838.31

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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.