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Finding the Fourth Proportional to 3,590.76, 5,386.14 and 2,931.96

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Solution

The fourth proportional to 3,590.76, 5,386.14 and 2,931.96 is: 4,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.76 : 5,386.14 = 2,931.96 : x
  2. Step 2: Convert to fraction form
    3,590.76/5,386.14 = 2,931.96/x
  3. Step 3: Cross multiply
    3,590.76x = 5,386.14 × 2,931.96
  4. Step 4: Simplify right side
    3,590.76x = 15,791,947.03
  5. Step 5: Solve for x
    x = 15,791,947.03/3,590.76
  6. Step 6: Final answer
    x = 4,397.94

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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.