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Finding the Fourth Proportional to 12,158, 16,780.48 and 6,852.88

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Solution

The fourth proportional to 12,158, 16,780.48 and 6,852.88 is: 9,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158 : 16,780.48 = 6,852.88 : x
  2. Step 2: Convert to fraction form
    12,158/16,780.48 = 6,852.88/x
  3. Step 3: Cross multiply
    12,158x = 16,780.48 × 6,852.88
  4. Step 4: Simplify right side
    12,158x = 114,994,615.78
  5. Step 5: Solve for x
    x = 114,994,615.78/12,158
  6. Step 6: Final answer
    x = 9,458.35

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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.