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Finding the Fourth Proportional to 22,616.95, 31,210.64 and 13,662.89

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Solution

The fourth proportional to 22,616.95, 31,210.64 and 13,662.89 is: 18,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.95 : 31,210.64 = 13,662.89 : x
  2. Step 2: Convert to fraction form
    22,616.95/31,210.64 = 13,662.89/x
  3. Step 3: Cross multiply
    22,616.95x = 31,210.64 × 13,662.89
  4. Step 4: Simplify right side
    22,616.95x = 426,427,419.25
  5. Step 5: Solve for x
    x = 426,427,419.25/22,616.95
  6. Step 6: Final answer
    x = 18,854.33

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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.