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Finding the Fourth Proportional to 2,659.68, 3,989.52 and 712.08

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Solution

The fourth proportional to 2,659.68, 3,989.52 and 712.08 is: 1,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.68 : 3,989.52 = 712.08 : x
  2. Step 2: Convert to fraction form
    2,659.68/3,989.52 = 712.08/x
  3. Step 3: Cross multiply
    2,659.68x = 3,989.52 × 712.08
  4. Step 4: Simplify right side
    2,659.68x = 2,840,857.40
  5. Step 5: Solve for x
    x = 2,840,857.40/2,659.68
  6. Step 6: Final answer
    x = 1,068.12

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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.