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Finding the Fourth Proportional to 9,963.10, 14,931.85 and 7,643.10

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Solution

The fourth proportional to 9,963.10, 14,931.85 and 7,643.10 is: 11,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.10 : 14,931.85 = 7,643.10 : x
  2. Step 2: Convert to fraction form
    9,963.10/14,931.85 = 7,643.10/x
  3. Step 3: Cross multiply
    9,963.10x = 14,931.85 × 7,643.10
  4. Step 4: Simplify right side
    9,963.10x = 114,125,622.74
  5. Step 5: Solve for x
    x = 114,125,622.74/9,963.10
  6. Step 6: Final answer
    x = 11,454.83

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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.