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Finding the Fourth Proportional to 12,787.64, 19,184.07 and 5,392.10

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Solution

The fourth proportional to 12,787.64, 19,184.07 and 5,392.10 is: 8,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.64 : 19,184.07 = 5,392.10 : x
  2. Step 2: Convert to fraction form
    12,787.64/19,184.07 = 5,392.10/x
  3. Step 3: Cross multiply
    12,787.64x = 19,184.07 × 5,392.10
  4. Step 4: Simplify right side
    12,787.64x = 103,442,423.85
  5. Step 5: Solve for x
    x = 103,442,423.85/12,787.64
  6. Step 6: Final answer
    x = 8,089.25

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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.