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Finding the Fourth Proportional to 6,342.64, 8,750.69 and 3,687.86

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Solution

The fourth proportional to 6,342.64, 8,750.69 and 3,687.86 is: 5,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.64 : 8,750.69 = 3,687.86 : x
  2. Step 2: Convert to fraction form
    6,342.64/8,750.69 = 3,687.86/x
  3. Step 3: Cross multiply
    6,342.64x = 8,750.69 × 3,687.86
  4. Step 4: Simplify right side
    6,342.64x = 32,271,301.18
  5. Step 5: Solve for x
    x = 32,271,301.18/6,342.64
  6. Step 6: Final answer
    x = 5,088.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.