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Finding the Fourth Proportional to 11,978.40, 16,490.22 and 8,989.32

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Solution

The fourth proportional to 11,978.40, 16,490.22 and 8,989.32 is: 12,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.40 : 16,490.22 = 8,989.32 : x
  2. Step 2: Convert to fraction form
    11,978.40/16,490.22 = 8,989.32/x
  3. Step 3: Cross multiply
    11,978.40x = 16,490.22 × 8,989.32
  4. Step 4: Simplify right side
    11,978.40x = 148,235,864.45
  5. Step 5: Solve for x
    x = 148,235,864.45/11,978.40
  6. Step 6: Final answer
    x = 12,375.26

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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.