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Finding the Fourth Proportional to 2,669, 4,001.70 and 1,025.24

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Solution

The fourth proportional to 2,669, 4,001.70 and 1,025.24 is: 1,537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 4,001.70 = 1,025.24 : x
  2. Step 2: Convert to fraction form
    2,669/4,001.70 = 1,025.24/x
  3. Step 3: Cross multiply
    2,669x = 4,001.70 × 1,025.24
  4. Step 4: Simplify right side
    2,669x = 4,102,702.91
  5. Step 5: Solve for x
    x = 4,102,702.91/2,669
  6. Step 6: Final answer
    x = 1,537.17

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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.