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Finding the Fourth Proportional to 9,012.13, 12,432.21 and 5,828.14

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Solution

The fourth proportional to 9,012.13, 12,432.21 and 5,828.14 is: 8,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.13 : 12,432.21 = 5,828.14 : x
  2. Step 2: Convert to fraction form
    9,012.13/12,432.21 = 5,828.14/x
  3. Step 3: Cross multiply
    9,012.13x = 12,432.21 × 5,828.14
  4. Step 4: Simplify right side
    9,012.13x = 72,456,675.93
  5. Step 5: Solve for x
    x = 72,456,675.93/9,012.13
  6. Step 6: Final answer
    x = 8,039.90

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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.