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Finding the Fourth Proportional to 5,720, 7,888.16 and 3,732.08

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Solution

The fourth proportional to 5,720, 7,888.16 and 3,732.08 is: 5,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 7,888.16 = 3,732.08 : x
  2. Step 2: Convert to fraction form
    5,720/7,888.16 = 3,732.08/x
  3. Step 3: Cross multiply
    5,720x = 7,888.16 × 3,732.08
  4. Step 4: Simplify right side
    5,720x = 29,439,244.17
  5. Step 5: Solve for x
    x = 29,439,244.17/5,720
  6. Step 6: Final answer
    x = 5,146.72

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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.