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Finding the Fourth Proportional to 1,561.90, 2,325.17 and 1,553.74

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Solution

The fourth proportional to 1,561.90, 2,325.17 and 1,553.74 is: 2,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.90 : 2,325.17 = 1,553.74 : x
  2. Step 2: Convert to fraction form
    1,561.90/2,325.17 = 1,553.74/x
  3. Step 3: Cross multiply
    1,561.90x = 2,325.17 × 1,553.74
  4. Step 4: Simplify right side
    1,561.90x = 3,612,709.64
  5. Step 5: Solve for x
    x = 3,612,709.64/1,561.90
  6. Step 6: Final answer
    x = 2,313.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.