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Finding the Fourth Proportional to 12,797.84, 19,201.13 and 7,810.20

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Solution

The fourth proportional to 12,797.84, 19,201.13 and 7,810.20 is: 11,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.84 : 19,201.13 = 7,810.20 : x
  2. Step 2: Convert to fraction form
    12,797.84/19,201.13 = 7,810.20/x
  3. Step 3: Cross multiply
    12,797.84x = 19,201.13 × 7,810.20
  4. Step 4: Simplify right side
    12,797.84x = 149,964,626.48
  5. Step 5: Solve for x
    x = 149,964,626.48/12,797.84
  6. Step 6: Final answer
    x = 11,717.97

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1.5x scale

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.