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Finding the Fourth Proportional to 3,543.68, 5,315.57 and 1,235.18

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Solution

The fourth proportional to 3,543.68, 5,315.57 and 1,235.18 is: 1,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.68 : 5,315.57 = 1,235.18 : x
  2. Step 2: Convert to fraction form
    3,543.68/5,315.57 = 1,235.18/x
  3. Step 3: Cross multiply
    3,543.68x = 5,315.57 × 1,235.18
  4. Step 4: Simplify right side
    3,543.68x = 6,565,677.56
  5. Step 5: Solve for x
    x = 6,565,677.56/3,543.68
  6. Step 6: Final answer
    x = 1,852.79

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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.