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Finding the Fourth Proportional to 12,787.14, 19,155.19 and 10,159.10

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Solution

The fourth proportional to 12,787.14, 19,155.19 and 10,159.10 is: 15,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.14 : 19,155.19 = 10,159.10 : x
  2. Step 2: Convert to fraction form
    12,787.14/19,155.19 = 10,159.10/x
  3. Step 3: Cross multiply
    12,787.14x = 19,155.19 × 10,159.10
  4. Step 4: Simplify right side
    12,787.14x = 194,599,490.73
  5. Step 5: Solve for x
    x = 194,599,490.73/12,787.14
  6. Step 6: Final answer
    x = 15,218.37

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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.