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Finding the Fourth Proportional to 9,503.90, 14,255.85 and 2,578.40

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Solution

The fourth proportional to 9,503.90, 14,255.85 and 2,578.40 is: 3,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.90 : 14,255.85 = 2,578.40 : x
  2. Step 2: Convert to fraction form
    9,503.90/14,255.85 = 2,578.40/x
  3. Step 3: Cross multiply
    9,503.90x = 14,255.85 × 2,578.40
  4. Step 4: Simplify right side
    9,503.90x = 36,757,212.36
  5. Step 5: Solve for x
    x = 36,757,212.36/9,503.90
  6. Step 6: Final answer
    x = 3,867.59

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Similar ratio
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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.