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Finding the Fourth Proportional to 12,800.40, 19,181.12 and 9,498

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Solution

The fourth proportional to 12,800.40, 19,181.12 and 9,498 is: 14,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.40 : 19,181.12 = 9,498 : x
  2. Step 2: Convert to fraction form
    12,800.40/19,181.12 = 9,498/x
  3. Step 3: Cross multiply
    12,800.40x = 19,181.12 × 9,498
  4. Step 4: Simplify right side
    12,800.40x = 182,182,277.76
  5. Step 5: Solve for x
    x = 182,182,277.76/12,800.40
  6. Step 6: Final answer
    x = 14,232.55

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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.