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Finding the Fourth Proportional to 1,817.14, 2,712.54 and 1,681.78

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Solution

The fourth proportional to 1,817.14, 2,712.54 and 1,681.78 is: 2,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.14 : 2,712.54 = 1,681.78 : x
  2. Step 2: Convert to fraction form
    1,817.14/2,712.54 = 1,681.78/x
  3. Step 3: Cross multiply
    1,817.14x = 2,712.54 × 1,681.78
  4. Step 4: Simplify right side
    1,817.14x = 4,561,895.52
  5. Step 5: Solve for x
    x = 4,561,895.52/1,817.14
  6. Step 6: Final answer
    x = 2,510.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.