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Finding the Fourth Proportional to 9,991.64, 14,989.14 and 4,148.70

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Solution

The fourth proportional to 9,991.64, 14,989.14 and 4,148.70 is: 6,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.64 : 14,989.14 = 4,148.70 : x
  2. Step 2: Convert to fraction form
    9,991.64/14,989.14 = 4,148.70/x
  3. Step 3: Cross multiply
    9,991.64x = 14,989.14 × 4,148.70
  4. Step 4: Simplify right side
    9,991.64x = 62,185,445.12
  5. Step 5: Solve for x
    x = 62,185,445.12/9,991.64
  6. Step 6: Final answer
    x = 6,223.75

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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.