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Finding the Fourth Proportional to 12,768.66, 19,150.80 and 3,532.50

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Solution

The fourth proportional to 12,768.66, 19,150.80 and 3,532.50 is: 5,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.66 : 19,150.80 = 3,532.50 : x
  2. Step 2: Convert to fraction form
    12,768.66/19,150.80 = 3,532.50/x
  3. Step 3: Cross multiply
    12,768.66x = 19,150.80 × 3,532.50
  4. Step 4: Simplify right side
    12,768.66x = 67,650,201
  5. Step 5: Solve for x
    x = 67,650,201/12,768.66
  6. Step 6: Final answer
    x = 5,298.14

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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.