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Finding the Fourth Proportional to 12,188.16, 16,848 and 10,874.88

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Solution

The fourth proportional to 12,188.16, 16,848 and 10,874.88 is: 15,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.16 : 16,848 = 10,874.88 : x
  2. Step 2: Convert to fraction form
    12,188.16/16,848 = 10,874.88/x
  3. Step 3: Cross multiply
    12,188.16x = 16,848 × 10,874.88
  4. Step 4: Simplify right side
    12,188.16x = 183,219,978.24
  5. Step 5: Solve for x
    x = 183,219,978.24/12,188.16
  6. Step 6: Final answer
    x = 15,032.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.