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Finding the Fourth Proportional to 1,414.42, 2,122.62 and 953.08

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Solution

The fourth proportional to 1,414.42, 2,122.62 and 953.08 is: 1,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.42 : 2,122.62 = 953.08 : x
  2. Step 2: Convert to fraction form
    1,414.42/2,122.62 = 953.08/x
  3. Step 3: Cross multiply
    1,414.42x = 2,122.62 × 953.08
  4. Step 4: Simplify right side
    1,414.42x = 2,023,026.67
  5. Step 5: Solve for x
    x = 2,023,026.67/1,414.42
  6. Step 6: Final answer
    x = 1,430.29

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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.