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Finding the Fourth Proportional to 20,224, 30,340.48 and 8,547.20

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Solution

The fourth proportional to 20,224, 30,340.48 and 8,547.20 is: 12,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224 : 30,340.48 = 8,547.20 : x
  2. Step 2: Convert to fraction form
    20,224/30,340.48 = 8,547.20/x
  3. Step 3: Cross multiply
    20,224x = 30,340.48 × 8,547.20
  4. Step 4: Simplify right side
    20,224x = 259,326,150.66
  5. Step 5: Solve for x
    x = 259,326,150.66/20,224
  6. Step 6: Final answer
    x = 12,822.69

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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.