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Finding the Fourth Proportional to 1,702.71, 2,344.37 and 1,547.00

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Solution

The fourth proportional to 1,702.71, 2,344.37 and 1,547.00 is: 2,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.71 : 2,344.37 = 1,547.00 : x
  2. Step 2: Convert to fraction form
    1,702.71/2,344.37 = 1,547.00/x
  3. Step 3: Cross multiply
    1,702.71x = 2,344.37 × 1,547.00
  4. Step 4: Simplify right side
    1,702.71x = 3,626,720.93
  5. Step 5: Solve for x
    x = 3,626,720.93/1,702.71
  6. Step 6: Final answer
    x = 2,129.97

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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.