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Finding the Fourth Proportional to 12,647.42, 17,424.95 and 8,815.46

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Solution

The fourth proportional to 12,647.42, 17,424.95 and 8,815.46 is: 12,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.42 : 17,424.95 = 8,815.46 : x
  2. Step 2: Convert to fraction form
    12,647.42/17,424.95 = 8,815.46/x
  3. Step 3: Cross multiply
    12,647.42x = 17,424.95 × 8,815.46
  4. Step 4: Simplify right side
    12,647.42x = 153,608,884.64
  5. Step 5: Solve for x
    x = 153,608,884.64/12,647.42
  6. Step 6: Final answer
    x = 12,145.48

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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.