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Finding the Fourth Proportional to 15,201.92, 20,978.40 and 10,720.96

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Solution

The fourth proportional to 15,201.92, 20,978.40 and 10,720.96 is: 14,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,201.92 : 20,978.40 = 10,720.96 : x
  2. Step 2: Convert to fraction form
    15,201.92/20,978.40 = 10,720.96/x
  3. Step 3: Cross multiply
    15,201.92x = 20,978.40 × 10,720.96
  4. Step 4: Simplify right side
    15,201.92x = 224,908,587.26
  5. Step 5: Solve for x
    x = 224,908,587.26/15,201.92
  6. Step 6: Final answer
    x = 14,794.75

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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.