Home / 1,781.64-2,682.36-1,543.50

Finding the Fourth Proportional to 1,781.64, 2,682.36 and 1,543.50

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Solution

The fourth proportional to 1,781.64, 2,682.36 and 1,543.50 is: 2,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.64 : 2,682.36 = 1,543.50 : x
  2. Step 2: Convert to fraction form
    1,781.64/2,682.36 = 1,543.50/x
  3. Step 3: Cross multiply
    1,781.64x = 2,682.36 × 1,543.50
  4. Step 4: Simplify right side
    1,781.64x = 4,140,222.66
  5. Step 5: Solve for x
    x = 4,140,222.66/1,781.64
  6. Step 6: Final answer
    x = 2,323.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.