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Finding the Fourth Proportional to 9,012.56, 13,438.19 and 9,000.26

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Solution

The fourth proportional to 9,012.56, 13,438.19 and 9,000.26 is: 13,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.56 : 13,438.19 = 9,000.26 : x
  2. Step 2: Convert to fraction form
    9,012.56/13,438.19 = 9,000.26/x
  3. Step 3: Cross multiply
    9,012.56x = 13,438.19 × 9,000.26
  4. Step 4: Simplify right side
    9,012.56x = 120,947,091.74
  5. Step 5: Solve for x
    x = 120,947,091.74/9,012.56
  6. Step 6: Final answer
    x = 13,419.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.