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Finding the Fourth Proportional to 3,318.93, 4,978.71 and 1,587.57

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Solution

The fourth proportional to 3,318.93, 4,978.71 and 1,587.57 is: 2,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.93 : 4,978.71 = 1,587.57 : x
  2. Step 2: Convert to fraction form
    3,318.93/4,978.71 = 1,587.57/x
  3. Step 3: Cross multiply
    3,318.93x = 4,978.71 × 1,587.57
  4. Step 4: Simplify right side
    3,318.93x = 7,904,050.63
  5. Step 5: Solve for x
    x = 7,904,050.63/3,318.93
  6. Step 6: Final answer
    x = 2,381.51

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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.