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Finding the Fourth Proportional to 14,878.20, 20,532.80 and 8,254.20

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Solution

The fourth proportional to 14,878.20, 20,532.80 and 8,254.20 is: 11,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.20 : 20,532.80 = 8,254.20 : x
  2. Step 2: Convert to fraction form
    14,878.20/20,532.80 = 8,254.20/x
  3. Step 3: Cross multiply
    14,878.20x = 20,532.80 × 8,254.20
  4. Step 4: Simplify right side
    14,878.20x = 169,481,837.76
  5. Step 5: Solve for x
    x = 169,481,837.76/14,878.20
  6. Step 6: Final answer
    x = 11,391.29

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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.