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Finding the Fourth Proportional to 2,702.50, 4,053.78 and 1,547.44

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Solution

The fourth proportional to 2,702.50, 4,053.78 and 1,547.44 is: 2,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.50 : 4,053.78 = 1,547.44 : x
  2. Step 2: Convert to fraction form
    2,702.50/4,053.78 = 1,547.44/x
  3. Step 3: Cross multiply
    2,702.50x = 4,053.78 × 1,547.44
  4. Step 4: Simplify right side
    2,702.50x = 6,272,971.19
  5. Step 5: Solve for x
    x = 6,272,971.19/2,702.50
  6. Step 6: Final answer
    x = 2,321.18

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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.