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Finding the Fourth Proportional to 12,138.78, 16,751.50 and 6,835.31

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Solution

The fourth proportional to 12,138.78, 16,751.50 and 6,835.31 is: 9,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.78 : 16,751.50 = 6,835.31 : x
  2. Step 2: Convert to fraction form
    12,138.78/16,751.50 = 6,835.31/x
  3. Step 3: Cross multiply
    12,138.78x = 16,751.50 × 6,835.31
  4. Step 4: Simplify right side
    12,138.78x = 114,501,695.47
  5. Step 5: Solve for x
    x = 114,501,695.47/12,138.78
  6. Step 6: Final answer
    x = 9,432.72

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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.