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Finding the Fourth Proportional to 15,978.12, 22,043.52 and 10,676.40

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Solution

The fourth proportional to 15,978.12, 22,043.52 and 10,676.40 is: 14,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.12 : 22,043.52 = 10,676.40 : x
  2. Step 2: Convert to fraction form
    15,978.12/22,043.52 = 10,676.40/x
  3. Step 3: Cross multiply
    15,978.12x = 22,043.52 × 10,676.40
  4. Step 4: Simplify right side
    15,978.12x = 235,345,436.93
  5. Step 5: Solve for x
    x = 235,345,436.93/15,978.12
  6. Step 6: Final answer
    x = 14,729.23

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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.