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Finding the Fourth Proportional to 10,578.40, 14,626.04 and 9,266.20

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Solution

The fourth proportional to 10,578.40, 14,626.04 and 9,266.20 is: 12,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.40 : 14,626.04 = 9,266.20 : x
  2. Step 2: Convert to fraction form
    10,578.40/14,626.04 = 9,266.20/x
  3. Step 3: Cross multiply
    10,578.40x = 14,626.04 × 9,266.20
  4. Step 4: Simplify right side
    10,578.40x = 135,527,811.85
  5. Step 5: Solve for x
    x = 135,527,811.85/10,578.40
  6. Step 6: Final answer
    x = 12,811.75

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Similar ratio
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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.