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Finding the Fourth Proportional to 1,704.74, 2,545.42 and 1,527.90

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Solution

The fourth proportional to 1,704.74, 2,545.42 and 1,527.90 is: 2,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.74 : 2,545.42 = 1,527.90 : x
  2. Step 2: Convert to fraction form
    1,704.74/2,545.42 = 1,527.90/x
  3. Step 3: Cross multiply
    1,704.74x = 2,545.42 × 1,527.90
  4. Step 4: Simplify right side
    1,704.74x = 3,889,147.22
  5. Step 5: Solve for x
    x = 3,889,147.22/1,704.74
  6. Step 6: Final answer
    x = 2,281.37

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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.