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Finding the Fourth Proportional to 9,920.64, 14,874.63 and 4,295.28

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Solution

The fourth proportional to 9,920.64, 14,874.63 and 4,295.28 is: 6,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.64 : 14,874.63 = 4,295.28 : x
  2. Step 2: Convert to fraction form
    9,920.64/14,874.63 = 4,295.28/x
  3. Step 3: Cross multiply
    9,920.64x = 14,874.63 × 4,295.28
  4. Step 4: Simplify right side
    9,920.64x = 63,890,700.75
  5. Step 5: Solve for x
    x = 63,890,700.75/9,920.64
  6. Step 6: Final answer
    x = 6,440.18

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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.