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Finding the Fourth Proportional to 9,952.88, 13,720.25 and 6,367.45

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Solution

The fourth proportional to 9,952.88, 13,720.25 and 6,367.45 is: 8,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.88 : 13,720.25 = 6,367.45 : x
  2. Step 2: Convert to fraction form
    9,952.88/13,720.25 = 6,367.45/x
  3. Step 3: Cross multiply
    9,952.88x = 13,720.25 × 6,367.45
  4. Step 4: Simplify right side
    9,952.88x = 87,363,005.86
  5. Step 5: Solve for x
    x = 87,363,005.86/9,952.88
  6. Step 6: Final answer
    x = 8,777.66

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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.