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Finding the Fourth Proportional to 6,789.60, 9,368.28 and 5,294.88

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Solution

The fourth proportional to 6,789.60, 9,368.28 and 5,294.88 is: 7,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.60 : 9,368.28 = 5,294.88 : x
  2. Step 2: Convert to fraction form
    6,789.60/9,368.28 = 5,294.88/x
  3. Step 3: Cross multiply
    6,789.60x = 9,368.28 × 5,294.88
  4. Step 4: Simplify right side
    6,789.60x = 49,603,918.41
  5. Step 5: Solve for x
    x = 49,603,918.41/6,789.60
  6. Step 6: Final answer
    x = 7,305.87

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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.