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Finding the Fourth Proportional to 1,607.38, 2,220 and 1,082.50

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Solution

The fourth proportional to 1,607.38, 2,220 and 1,082.50 is: 1,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.38 : 2,220 = 1,082.50 : x
  2. Step 2: Convert to fraction form
    1,607.38/2,220 = 1,082.50/x
  3. Step 3: Cross multiply
    1,607.38x = 2,220 × 1,082.50
  4. Step 4: Simplify right side
    1,607.38x = 2,403,138.90
  5. Step 5: Solve for x
    x = 2,403,138.90/1,607.38
  6. Step 6: Final answer
    x = 1,495.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.