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Finding the Fourth Proportional to 9,215.80, 13,812.76 and 5,312.14

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Solution

The fourth proportional to 9,215.80, 13,812.76 and 5,312.14 is: 7,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.80 : 13,812.76 = 5,312.14 : x
  2. Step 2: Convert to fraction form
    9,215.80/13,812.76 = 5,312.14/x
  3. Step 3: Cross multiply
    9,215.80x = 13,812.76 × 5,312.14
  4. Step 4: Simplify right side
    9,215.80x = 73,375,314.91
  5. Step 5: Solve for x
    x = 73,375,314.91/9,215.80
  6. Step 6: Final answer
    x = 7,961.90

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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.