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Finding the Fourth Proportional to 1,562.83, 2,171.17 and 1,548.55

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Solution

The fourth proportional to 1,562.83, 2,171.17 and 1,548.55 is: 2,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.83 : 2,171.17 = 1,548.55 : x
  2. Step 2: Convert to fraction form
    1,562.83/2,171.17 = 1,548.55/x
  3. Step 3: Cross multiply
    1,562.83x = 2,171.17 × 1,548.55
  4. Step 4: Simplify right side
    1,562.83x = 3,362,169.95
  5. Step 5: Solve for x
    x = 3,362,169.95/1,562.83
  6. Step 6: Final answer
    x = 2,151.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.