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Finding the Fourth Proportional to 9,392, 12,960.98 and 5,200.88

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Solution

The fourth proportional to 9,392, 12,960.98 and 5,200.88 is: 7,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392 : 12,960.98 = 5,200.88 : x
  2. Step 2: Convert to fraction form
    9,392/12,960.98 = 5,200.88/x
  3. Step 3: Cross multiply
    9,392x = 12,960.98 × 5,200.88
  4. Step 4: Simplify right side
    9,392x = 67,408,501.66
  5. Step 5: Solve for x
    x = 67,408,501.66/9,392
  6. Step 6: Final answer
    x = 7,177.23

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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.