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Finding the Fourth Proportional to 9,713.64, 14,569.84 and 3,139.27

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Solution

The fourth proportional to 9,713.64, 14,569.84 and 3,139.27 is: 4,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.64 : 14,569.84 = 3,139.27 : x
  2. Step 2: Convert to fraction form
    9,713.64/14,569.84 = 3,139.27/x
  3. Step 3: Cross multiply
    9,713.64x = 14,569.84 × 3,139.27
  4. Step 4: Simplify right side
    9,713.64x = 45,738,661.62
  5. Step 5: Solve for x
    x = 45,738,661.62/9,713.64
  6. Step 6: Final answer
    x = 4,708.70

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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.