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Finding the Fourth Proportional to 1,966.80, 2,950.20 and 1,534.32

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Solution

The fourth proportional to 1,966.80, 2,950.20 and 1,534.32 is: 2,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.80 : 2,950.20 = 1,534.32 : x
  2. Step 2: Convert to fraction form
    1,966.80/2,950.20 = 1,534.32/x
  3. Step 3: Cross multiply
    1,966.80x = 2,950.20 × 1,534.32
  4. Step 4: Simplify right side
    1,966.80x = 4,526,550.86
  5. Step 5: Solve for x
    x = 4,526,550.86/1,966.80
  6. Step 6: Final answer
    x = 2,301.48

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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.