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Finding the Fourth Proportional to 10,409.78, 15,619.20 and 5,478.20

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Solution

The fourth proportional to 10,409.78, 15,619.20 and 5,478.20 is: 8,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.78 : 15,619.20 = 5,478.20 : x
  2. Step 2: Convert to fraction form
    10,409.78/15,619.20 = 5,478.20/x
  3. Step 3: Cross multiply
    10,409.78x = 15,619.20 × 5,478.20
  4. Step 4: Simplify right side
    10,409.78x = 85,565,101.44
  5. Step 5: Solve for x
    x = 85,565,101.44/10,409.78
  6. Step 6: Final answer
    x = 8,219.68

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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.