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Finding the Fourth Proportional to 1,311.16, 1,965.72 and 847.96

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Solution

The fourth proportional to 1,311.16, 1,965.72 and 847.96 is: 1,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.16 : 1,965.72 = 847.96 : x
  2. Step 2: Convert to fraction form
    1,311.16/1,965.72 = 847.96/x
  3. Step 3: Cross multiply
    1,311.16x = 1,965.72 × 847.96
  4. Step 4: Simplify right side
    1,311.16x = 1,666,851.93
  5. Step 5: Solve for x
    x = 1,666,851.93/1,311.16
  6. Step 6: Final answer
    x = 1,271.28

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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.