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Finding the Fourth Proportional to 1,245.52, 1,867.20 and 1,064.08

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Solution

The fourth proportional to 1,245.52, 1,867.20 and 1,064.08 is: 1,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.52 : 1,867.20 = 1,064.08 : x
  2. Step 2: Convert to fraction form
    1,245.52/1,867.20 = 1,064.08/x
  3. Step 3: Cross multiply
    1,245.52x = 1,867.20 × 1,064.08
  4. Step 4: Simplify right side
    1,245.52x = 1,986,850.18
  5. Step 5: Solve for x
    x = 1,986,850.18/1,245.52
  6. Step 6: Final answer
    x = 1,595.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.