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Finding the Fourth Proportional to 10,336.80, 15,494.40 and 5,649.60

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Solution

The fourth proportional to 10,336.80, 15,494.40 and 5,649.60 is: 8,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.80 : 15,494.40 = 5,649.60 : x
  2. Step 2: Convert to fraction form
    10,336.80/15,494.40 = 5,649.60/x
  3. Step 3: Cross multiply
    10,336.80x = 15,494.40 × 5,649.60
  4. Step 4: Simplify right side
    10,336.80x = 87,537,162.24
  5. Step 5: Solve for x
    x = 87,537,162.24/10,336.80
  6. Step 6: Final answer
    x = 8,468.50

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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.