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Finding the Fourth Proportional to 8,306.40, 12,461.80 and 3,624.40

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Solution

The fourth proportional to 8,306.40, 12,461.80 and 3,624.40 is: 5,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.40 : 12,461.80 = 3,624.40 : x
  2. Step 2: Convert to fraction form
    8,306.40/12,461.80 = 3,624.40/x
  3. Step 3: Cross multiply
    8,306.40x = 12,461.80 × 3,624.40
  4. Step 4: Simplify right side
    8,306.40x = 45,166,547.92
  5. Step 5: Solve for x
    x = 45,166,547.92/8,306.40
  6. Step 6: Final answer
    x = 5,437.56

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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.