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Finding the Fourth Proportional to 8,424.54, 12,647.75 and 6,478.11

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Solution

The fourth proportional to 8,424.54, 12,647.75 and 6,478.11 is: 9,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.54 : 12,647.75 = 6,478.11 : x
  2. Step 2: Convert to fraction form
    8,424.54/12,647.75 = 6,478.11/x
  3. Step 3: Cross multiply
    8,424.54x = 12,647.75 × 6,478.11
  4. Step 4: Simplify right side
    8,424.54x = 81,933,483.36
  5. Step 5: Solve for x
    x = 81,933,483.36/8,424.54
  6. Step 6: Final answer
    x = 9,725.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.