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Finding the Fourth Proportional to 3,543.58, 5,315.59 and 1,078.58

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Solution

The fourth proportional to 3,543.58, 5,315.59 and 1,078.58 is: 1,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.58 : 5,315.59 = 1,078.58 : x
  2. Step 2: Convert to fraction form
    3,543.58/5,315.59 = 1,078.58/x
  3. Step 3: Cross multiply
    3,543.58x = 5,315.59 × 1,078.58
  4. Step 4: Simplify right side
    3,543.58x = 5,733,289.06
  5. Step 5: Solve for x
    x = 5,733,289.06/3,543.58
  6. Step 6: Final answer
    x = 1,617.94

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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.