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Finding the Fourth Proportional to 12,750.28, 19,089.95 and 6,496.81

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Solution

The fourth proportional to 12,750.28, 19,089.95 and 6,496.81 is: 9,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.28 : 19,089.95 = 6,496.81 : x
  2. Step 2: Convert to fraction form
    12,750.28/19,089.95 = 6,496.81/x
  3. Step 3: Cross multiply
    12,750.28x = 19,089.95 × 6,496.81
  4. Step 4: Simplify right side
    12,750.28x = 124,023,697.85
  5. Step 5: Solve for x
    x = 124,023,697.85/12,750.28
  6. Step 6: Final answer
    x = 9,727.14

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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.