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Finding the Fourth Proportional to 6,658.83, 9,989.19 and 3,538.02

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Solution

The fourth proportional to 6,658.83, 9,989.19 and 3,538.02 is: 5,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.83 : 9,989.19 = 3,538.02 : x
  2. Step 2: Convert to fraction form
    6,658.83/9,989.19 = 3,538.02/x
  3. Step 3: Cross multiply
    6,658.83x = 9,989.19 × 3,538.02
  4. Step 4: Simplify right side
    6,658.83x = 35,341,954.00
  5. Step 5: Solve for x
    x = 35,341,954.00/6,658.83
  6. Step 6: Final answer
    x = 5,307.53

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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.