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Finding the Fourth Proportional to 2,084.65, 3,126.97 and 898.20

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Solution

The fourth proportional to 2,084.65, 3,126.97 and 898.20 is: 1,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.65 : 3,126.97 = 898.20 : x
  2. Step 2: Convert to fraction form
    2,084.65/3,126.97 = 898.20/x
  3. Step 3: Cross multiply
    2,084.65x = 3,126.97 × 898.20
  4. Step 4: Simplify right side
    2,084.65x = 2,808,642.21
  5. Step 5: Solve for x
    x = 2,808,642.21/2,084.65
  6. Step 6: Final answer
    x = 1,347.30

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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.