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Finding the Fourth Proportional to 10,578.80, 14,611.20 and 7,035.68

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Solution

The fourth proportional to 10,578.80, 14,611.20 and 7,035.68 is: 9,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.80 : 14,611.20 = 7,035.68 : x
  2. Step 2: Convert to fraction form
    10,578.80/14,611.20 = 7,035.68/x
  3. Step 3: Cross multiply
    10,578.80x = 14,611.20 × 7,035.68
  4. Step 4: Simplify right side
    10,578.80x = 102,799,727.62
  5. Step 5: Solve for x
    x = 102,799,727.62/10,578.80
  6. Step 6: Final answer
    x = 9,717.52

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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.