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Finding the Fourth Proportional to 2,543.77, 3,510.48 and 1,424.71

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Solution

The fourth proportional to 2,543.77, 3,510.48 and 1,424.71 is: 1,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.77 : 3,510.48 = 1,424.71 : x
  2. Step 2: Convert to fraction form
    2,543.77/3,510.48 = 1,424.71/x
  3. Step 3: Cross multiply
    2,543.77x = 3,510.48 × 1,424.71
  4. Step 4: Simplify right side
    2,543.77x = 5,001,398.41
  5. Step 5: Solve for x
    x = 5,001,398.41/2,543.77
  6. Step 6: Final answer
    x = 1,966.14

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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.