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Finding the Fourth Proportional to 12,592, 18,915.84 and 8,216.32

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Solution

The fourth proportional to 12,592, 18,915.84 and 8,216.32 is: 12,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592 : 18,915.84 = 8,216.32 : x
  2. Step 2: Convert to fraction form
    12,592/18,915.84 = 8,216.32/x
  3. Step 3: Cross multiply
    12,592x = 18,915.84 × 8,216.32
  4. Step 4: Simplify right side
    12,592x = 155,418,594.51
  5. Step 5: Solve for x
    x = 155,418,594.51/12,592
  6. Step 6: Final answer
    x = 12,342.65

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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.