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Finding the Fourth Proportional to 9,338, 12,886.60 and 6,031.76

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Solution

The fourth proportional to 9,338, 12,886.60 and 6,031.76 is: 8,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338 : 12,886.60 = 6,031.76 : x
  2. Step 2: Convert to fraction form
    9,338/12,886.60 = 6,031.76/x
  3. Step 3: Cross multiply
    9,338x = 12,886.60 × 6,031.76
  4. Step 4: Simplify right side
    9,338x = 77,728,878.42
  5. Step 5: Solve for x
    x = 77,728,878.42/9,338
  6. Step 6: Final answer
    x = 8,323.93

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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.