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Finding the Fourth Proportional to 2,003, 2,761.62 and 1,547.96

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Solution

The fourth proportional to 2,003, 2,761.62 and 1,547.96 is: 2,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003 : 2,761.62 = 1,547.96 : x
  2. Step 2: Convert to fraction form
    2,003/2,761.62 = 1,547.96/x
  3. Step 3: Cross multiply
    2,003x = 2,761.62 × 1,547.96
  4. Step 4: Simplify right side
    2,003x = 4,274,877.30
  5. Step 5: Solve for x
    x = 4,274,877.30/2,003
  6. Step 6: Final answer
    x = 2,134.24

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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.