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Finding the Fourth Proportional to 12,995.75, 19,502.27 and 4,787.75

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Solution

The fourth proportional to 12,995.75, 19,502.27 and 4,787.75 is: 7,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,995.75 : 19,502.27 = 4,787.75 : x
  2. Step 2: Convert to fraction form
    12,995.75/19,502.27 = 4,787.75/x
  3. Step 3: Cross multiply
    12,995.75x = 19,502.27 × 4,787.75
  4. Step 4: Simplify right side
    12,995.75x = 93,371,993.19
  5. Step 5: Solve for x
    x = 93,371,993.19/12,995.75
  6. Step 6: Final answer
    x = 7,184.81

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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.