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Finding the Fourth Proportional to 8,298.34, 12,447.48 and 3,913.42

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Solution

The fourth proportional to 8,298.34, 12,447.48 and 3,913.42 is: 5,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.34 : 12,447.48 = 3,913.42 : x
  2. Step 2: Convert to fraction form
    8,298.34/12,447.48 = 3,913.42/x
  3. Step 3: Cross multiply
    8,298.34x = 12,447.48 × 3,913.42
  4. Step 4: Simplify right side
    8,298.34x = 48,712,217.18
  5. Step 5: Solve for x
    x = 48,712,217.18/8,298.34
  6. Step 6: Final answer
    x = 5,870.12

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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.