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Finding the Fourth Proportional to 14,616.36, 20,165.80 and 8,945.20

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Solution

The fourth proportional to 14,616.36, 20,165.80 and 8,945.20 is: 12,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.36 : 20,165.80 = 8,945.20 : x
  2. Step 2: Convert to fraction form
    14,616.36/20,165.80 = 8,945.20/x
  3. Step 3: Cross multiply
    14,616.36x = 20,165.80 × 8,945.20
  4. Step 4: Simplify right side
    14,616.36x = 180,387,114.16
  5. Step 5: Solve for x
    x = 180,387,114.16/14,616.36
  6. Step 6: Final answer
    x = 12,341.45

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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.