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Finding the Fourth Proportional to 1,989.29, 2,981.49 and 689.24

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Solution

The fourth proportional to 1,989.29, 2,981.49 and 689.24 is: 1,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.29 : 2,981.49 = 689.24 : x
  2. Step 2: Convert to fraction form
    1,989.29/2,981.49 = 689.24/x
  3. Step 3: Cross multiply
    1,989.29x = 2,981.49 × 689.24
  4. Step 4: Simplify right side
    1,989.29x = 2,054,962.17
  5. Step 5: Solve for x
    x = 2,054,962.17/1,989.29
  6. Step 6: Final answer
    x = 1,033.01

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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.