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Finding the Fourth Proportional to 16,563, 22,865.40 and 12,777.66

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Solution

The fourth proportional to 16,563, 22,865.40 and 12,777.66 is: 17,639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563 : 22,865.40 = 12,777.66 : x
  2. Step 2: Convert to fraction form
    16,563/22,865.40 = 12,777.66/x
  3. Step 3: Cross multiply
    16,563x = 22,865.40 × 12,777.66
  4. Step 4: Simplify right side
    16,563x = 292,166,306.96
  5. Step 5: Solve for x
    x = 292,166,306.96/16,563
  6. Step 6: Final answer
    x = 17,639.70

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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.