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Finding the Fourth Proportional to 9,906.32, 14,866.74 and 7,981.76

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Solution

The fourth proportional to 9,906.32, 14,866.74 and 7,981.76 is: 11,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.32 : 14,866.74 = 7,981.76 : x
  2. Step 2: Convert to fraction form
    9,906.32/14,866.74 = 7,981.76/x
  3. Step 3: Cross multiply
    9,906.32x = 14,866.74 × 7,981.76
  4. Step 4: Simplify right side
    9,906.32x = 118,662,750.66
  5. Step 5: Solve for x
    x = 118,662,750.66/9,906.32
  6. Step 6: Final answer
    x = 11,978.49

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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.