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Finding the Fourth Proportional to 12,883.95, 17,788.38 and 9,894.42

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Solution

The fourth proportional to 12,883.95, 17,788.38 and 9,894.42 is: 13,660.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.95 : 17,788.38 = 9,894.42 : x
  2. Step 2: Convert to fraction form
    12,883.95/17,788.38 = 9,894.42/x
  3. Step 3: Cross multiply
    12,883.95x = 17,788.38 × 9,894.42
  4. Step 4: Simplify right side
    12,883.95x = 176,005,702.84
  5. Step 5: Solve for x
    x = 176,005,702.84/12,883.95
  6. Step 6: Final answer
    x = 13,660.85

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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.