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Finding the Fourth Proportional to 8,106.48, 11,173.48 and 6,424.92

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Solution

The fourth proportional to 8,106.48, 11,173.48 and 6,424.92 is: 8,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.48 : 11,173.48 = 6,424.92 : x
  2. Step 2: Convert to fraction form
    8,106.48/11,173.48 = 6,424.92/x
  3. Step 3: Cross multiply
    8,106.48x = 11,173.48 × 6,424.92
  4. Step 4: Simplify right side
    8,106.48x = 71,788,715.12
  5. Step 5: Solve for x
    x = 71,788,715.12/8,106.48
  6. Step 6: Final answer
    x = 8,855.72

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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.