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Finding the Fourth Proportional to 9,880.64, 14,809.68 and 3,305.28

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Solution

The fourth proportional to 9,880.64, 14,809.68 and 3,305.28 is: 4,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.64 : 14,809.68 = 3,305.28 : x
  2. Step 2: Convert to fraction form
    9,880.64/14,809.68 = 3,305.28/x
  3. Step 3: Cross multiply
    9,880.64x = 14,809.68 × 3,305.28
  4. Step 4: Simplify right side
    9,880.64x = 48,950,139.11
  5. Step 5: Solve for x
    x = 48,950,139.11/9,880.64
  6. Step 6: Final answer
    x = 4,954.15

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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.