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Finding the Fourth Proportional to 2,713.64, 4,070.46 and 1,782.47

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Solution

The fourth proportional to 2,713.64, 4,070.46 and 1,782.47 is: 2,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.64 : 4,070.46 = 1,782.47 : x
  2. Step 2: Convert to fraction form
    2,713.64/4,070.46 = 1,782.47/x
  3. Step 3: Cross multiply
    2,713.64x = 4,070.46 × 1,782.47
  4. Step 4: Simplify right side
    2,713.64x = 7,255,456.77
  5. Step 5: Solve for x
    x = 7,255,456.77/2,713.64
  6. Step 6: Final answer
    x = 2,673.70

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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.