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Finding the Fourth Proportional to 1,311.20, 1,965.36 and 847.52

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Solution

The fourth proportional to 1,311.20, 1,965.36 and 847.52 is: 1,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.20 : 1,965.36 = 847.52 : x
  2. Step 2: Convert to fraction form
    1,311.20/1,965.36 = 847.52/x
  3. Step 3: Cross multiply
    1,311.20x = 1,965.36 × 847.52
  4. Step 4: Simplify right side
    1,311.20x = 1,665,681.91
  5. Step 5: Solve for x
    x = 1,665,681.91/1,311.20
  6. Step 6: Final answer
    x = 1,270.35

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1.5x scale

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.