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Finding the Fourth Proportional to 30,491.80, 45,733.06 and 8,306.92

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Solution

The fourth proportional to 30,491.80, 45,733.06 and 8,306.92 is: 12,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,491.80 : 45,733.06 = 8,306.92 : x
  2. Step 2: Convert to fraction form
    30,491.80/45,733.06 = 8,306.92/x
  3. Step 3: Cross multiply
    30,491.80x = 45,733.06 × 8,306.92
  4. Step 4: Simplify right side
    30,491.80x = 379,900,870.78
  5. Step 5: Solve for x
    x = 379,900,870.78/30,491.80
  6. Step 6: Final answer
    x = 12,459.12

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1.5x scale

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.