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Finding the Fourth Proportional to 8,357.03, 11,508.40 and 7,822.80

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Solution

The fourth proportional to 8,357.03, 11,508.40 and 7,822.80 is: 10,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.03 : 11,508.40 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    8,357.03/11,508.40 = 7,822.80/x
  3. Step 3: Cross multiply
    8,357.03x = 11,508.40 × 7,822.80
  4. Step 4: Simplify right side
    8,357.03x = 90,027,928.21
  5. Step 5: Solve for x
    x = 90,027,928.21/8,357.03
  6. Step 6: Final answer
    x = 10,772.72

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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.