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Finding the Fourth Proportional to 1,902.64, 2,625.90 and 1,117

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Solution

The fourth proportional to 1,902.64, 2,625.90 and 1,117 is: 1,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,625.90 = 1,117 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,625.90 = 1,117/x
  3. Step 3: Cross multiply
    1,902.64x = 2,625.90 × 1,117
  4. Step 4: Simplify right side
    1,902.64x = 2,933,130.30
  5. Step 5: Solve for x
    x = 2,933,130.30/1,902.64
  6. Step 6: Final answer
    x = 1,541.61

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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.