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Finding the Fourth Proportional to 12,438.32, 18,648.84 and 6,278

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Solution

The fourth proportional to 12,438.32, 18,648.84 and 6,278 is: 9,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.32 : 18,648.84 = 6,278 : x
  2. Step 2: Convert to fraction form
    12,438.32/18,648.84 = 6,278/x
  3. Step 3: Cross multiply
    12,438.32x = 18,648.84 × 6,278
  4. Step 4: Simplify right side
    12,438.32x = 117,077,417.52
  5. Step 5: Solve for x
    x = 117,077,417.52/12,438.32
  6. Step 6: Final answer
    x = 9,412.64

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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.