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Finding the Fourth Proportional to 9,788.40, 13,508.40 and 6,958.80

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Solution

The fourth proportional to 9,788.40, 13,508.40 and 6,958.80 is: 9,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.40 : 13,508.40 = 6,958.80 : x
  2. Step 2: Convert to fraction form
    9,788.40/13,508.40 = 6,958.80/x
  3. Step 3: Cross multiply
    9,788.40x = 13,508.40 × 6,958.80
  4. Step 4: Simplify right side
    9,788.40x = 94,002,253.92
  5. Step 5: Solve for x
    x = 94,002,253.92/9,788.40
  6. Step 6: Final answer
    x = 9,603.43

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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.