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Finding the Fourth Proportional to 2,543.78, 3,510.51 and 1,424.77

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Solution

The fourth proportional to 2,543.78, 3,510.51 and 1,424.77 is: 1,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.78 : 3,510.51 = 1,424.77 : x
  2. Step 2: Convert to fraction form
    2,543.78/3,510.51 = 1,424.77/x
  3. Step 3: Cross multiply
    2,543.78x = 3,510.51 × 1,424.77
  4. Step 4: Simplify right side
    2,543.78x = 5,001,655.21
  5. Step 5: Solve for x
    x = 5,001,655.21/2,543.78
  6. Step 6: Final answer
    x = 1,966.23

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1.5x scale

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.