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Finding the Fourth Proportional to 14,878.09, 20,506.20 and 14,177.40

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Solution

The fourth proportional to 14,878.09, 20,506.20 and 14,177.40 is: 19,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.09 : 20,506.20 = 14,177.40 : x
  2. Step 2: Convert to fraction form
    14,878.09/20,506.20 = 14,177.40/x
  3. Step 3: Cross multiply
    14,878.09x = 20,506.20 × 14,177.40
  4. Step 4: Simplify right side
    14,878.09x = 290,724,572.88
  5. Step 5: Solve for x
    x = 290,724,572.88/14,878.09
  6. Step 6: Final answer
    x = 19,540.45

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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.