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Finding the Fourth Proportional to 3,965.16, 5,947.50 and 1,043.46

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Solution

The fourth proportional to 3,965.16, 5,947.50 and 1,043.46 is: 1,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.16 : 5,947.50 = 1,043.46 : x
  2. Step 2: Convert to fraction form
    3,965.16/5,947.50 = 1,043.46/x
  3. Step 3: Cross multiply
    3,965.16x = 5,947.50 × 1,043.46
  4. Step 4: Simplify right side
    3,965.16x = 6,205,978.35
  5. Step 5: Solve for x
    x = 6,205,978.35/3,965.16
  6. Step 6: Final answer
    x = 1,565.13

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