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Finding the Fourth Proportional to 5,320.90, 7,981.62 and 1,988.41

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Solution

The fourth proportional to 5,320.90, 7,981.62 and 1,988.41 is: 2,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.90 : 7,981.62 = 1,988.41 : x
  2. Step 2: Convert to fraction form
    5,320.90/7,981.62 = 1,988.41/x
  3. Step 3: Cross multiply
    5,320.90x = 7,981.62 × 1,988.41
  4. Step 4: Simplify right side
    5,320.90x = 15,870,733.02
  5. Step 5: Solve for x
    x = 15,870,733.02/5,320.90
  6. Step 6: Final answer
    x = 2,982.72

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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.