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Finding the Fourth Proportional to 8,931.64, 13,393.20 and 4,001.32

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Solution

The fourth proportional to 8,931.64, 13,393.20 and 4,001.32 is: 6,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.64 : 13,393.20 = 4,001.32 : x
  2. Step 2: Convert to fraction form
    8,931.64/13,393.20 = 4,001.32/x
  3. Step 3: Cross multiply
    8,931.64x = 13,393.20 × 4,001.32
  4. Step 4: Simplify right side
    8,931.64x = 53,590,479.02
  5. Step 5: Solve for x
    x = 53,590,479.02/8,931.64
  6. Step 6: Final answer
    x = 6,000.07

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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.