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Finding the Fourth Proportional to 10,600.16, 15,913.20 and 6,720.80

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Solution

The fourth proportional to 10,600.16, 15,913.20 and 6,720.80 is: 10,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.16 : 15,913.20 = 6,720.80 : x
  2. Step 2: Convert to fraction form
    10,600.16/15,913.20 = 6,720.80/x
  3. Step 3: Cross multiply
    10,600.16x = 15,913.20 × 6,720.80
  4. Step 4: Simplify right side
    10,600.16x = 106,949,434.56
  5. Step 5: Solve for x
    x = 106,949,434.56/10,600.16
  6. Step 6: Final answer
    x = 10,089.42

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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.