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Finding the Fourth Proportional to 8,469.72, 12,697.02 and 4,307.40

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Solution

The fourth proportional to 8,469.72, 12,697.02 and 4,307.40 is: 6,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.72 : 12,697.02 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    8,469.72/12,697.02 = 4,307.40/x
  3. Step 3: Cross multiply
    8,469.72x = 12,697.02 × 4,307.40
  4. Step 4: Simplify right side
    8,469.72x = 54,691,143.95
  5. Step 5: Solve for x
    x = 54,691,143.95/8,469.72
  6. Step 6: Final answer
    x = 6,457.26

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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.