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Finding the Fourth Proportional to 9,959.88, 13,729.90 and 6,374.46

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Solution

The fourth proportional to 9,959.88, 13,729.90 and 6,374.46 is: 8,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.88 : 13,729.90 = 6,374.46 : x
  2. Step 2: Convert to fraction form
    9,959.88/13,729.90 = 6,374.46/x
  3. Step 3: Cross multiply
    9,959.88x = 13,729.90 × 6,374.46
  4. Step 4: Simplify right side
    9,959.88x = 87,520,698.35
  5. Step 5: Solve for x
    x = 87,520,698.35/9,959.88
  6. Step 6: Final answer
    x = 8,787.32

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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.