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Finding the Fourth Proportional to 20,315.68, 30,468.06 and 7,166.32

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Solution

The fourth proportional to 20,315.68, 30,468.06 and 7,166.32 is: 10,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.68 : 30,468.06 = 7,166.32 : x
  2. Step 2: Convert to fraction form
    20,315.68/30,468.06 = 7,166.32/x
  3. Step 3: Cross multiply
    20,315.68x = 30,468.06 × 7,166.32
  4. Step 4: Simplify right side
    20,315.68x = 218,343,867.74
  5. Step 5: Solve for x
    x = 218,343,867.74/20,315.68
  6. Step 6: Final answer
    x = 10,747.55

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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.