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Finding the Fourth Proportional to 10,647.44, 15,963.76 and 4,721.12

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Solution

The fourth proportional to 10,647.44, 15,963.76 and 4,721.12 is: 7,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.44 : 15,963.76 = 4,721.12 : x
  2. Step 2: Convert to fraction form
    10,647.44/15,963.76 = 4,721.12/x
  3. Step 3: Cross multiply
    10,647.44x = 15,963.76 × 4,721.12
  4. Step 4: Simplify right side
    10,647.44x = 75,366,826.61
  5. Step 5: Solve for x
    x = 75,366,826.61/10,647.44
  6. Step 6: Final answer
    x = 7,078.40

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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.