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Finding the Fourth Proportional to 5,989.84, 8,981.10 and 2,870.80

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Solution

The fourth proportional to 5,989.84, 8,981.10 and 2,870.80 is: 4,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.84 : 8,981.10 = 2,870.80 : x
  2. Step 2: Convert to fraction form
    5,989.84/8,981.10 = 2,870.80/x
  3. Step 3: Cross multiply
    5,989.84x = 8,981.10 × 2,870.80
  4. Step 4: Simplify right side
    5,989.84x = 25,782,941.88
  5. Step 5: Solve for x
    x = 25,782,941.88/5,989.84
  6. Step 6: Final answer
    x = 4,304.45

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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.