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Finding the Fourth Proportional to 8,972.34, 12,369 and 6,311.49

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Solution

The fourth proportional to 8,972.34, 12,369 and 6,311.49 is: 8,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.34 : 12,369 = 6,311.49 : x
  2. Step 2: Convert to fraction form
    8,972.34/12,369 = 6,311.49/x
  3. Step 3: Cross multiply
    8,972.34x = 12,369 × 6,311.49
  4. Step 4: Simplify right side
    8,972.34x = 78,066,819.81
  5. Step 5: Solve for x
    x = 78,066,819.81/8,972.34
  6. Step 6: Final answer
    x = 8,700.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.