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Finding the Fourth Proportional to 8,780.84, 13,181.52 and 6,933.20

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Solution

The fourth proportional to 8,780.84, 13,181.52 and 6,933.20 is: 10,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.84 : 13,181.52 = 6,933.20 : x
  2. Step 2: Convert to fraction form
    8,780.84/13,181.52 = 6,933.20/x
  3. Step 3: Cross multiply
    8,780.84x = 13,181.52 × 6,933.20
  4. Step 4: Simplify right side
    8,780.84x = 91,390,114.46
  5. Step 5: Solve for x
    x = 91,390,114.46/8,780.84
  6. Step 6: Final answer
    x = 10,407.90

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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.