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Finding the Fourth Proportional to 10,600.47, 15,900.71 and 2,809.22

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Solution

The fourth proportional to 10,600.47, 15,900.71 and 2,809.22 is: 4,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.47 : 15,900.71 = 2,809.22 : x
  2. Step 2: Convert to fraction form
    10,600.47/15,900.71 = 2,809.22/x
  3. Step 3: Cross multiply
    10,600.47x = 15,900.71 × 2,809.22
  4. Step 4: Simplify right side
    10,600.47x = 44,668,499.00
  5. Step 5: Solve for x
    x = 44,668,499.00/10,600.47
  6. Step 6: Final answer
    x = 4,213.82

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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.