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Finding the Fourth Proportional to 14,572.80, 20,106.72 and 8,827.20

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Solution

The fourth proportional to 14,572.80, 20,106.72 and 8,827.20 is: 12,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,572.80 : 20,106.72 = 8,827.20 : x
  2. Step 2: Convert to fraction form
    14,572.80/20,106.72 = 8,827.20/x
  3. Step 3: Cross multiply
    14,572.80x = 20,106.72 × 8,827.20
  4. Step 4: Simplify right side
    14,572.80x = 177,486,038.78
  5. Step 5: Solve for x
    x = 177,486,038.78/14,572.80
  6. Step 6: Final answer
    x = 12,179.27

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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.