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Finding the Fourth Proportional to 10,664.66, 16,078.20 and 9,912.98

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Solution

The fourth proportional to 10,664.66, 16,078.20 and 9,912.98 is: 14,944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.66 : 16,078.20 = 9,912.98 : x
  2. Step 2: Convert to fraction form
    10,664.66/16,078.20 = 9,912.98/x
  3. Step 3: Cross multiply
    10,664.66x = 16,078.20 × 9,912.98
  4. Step 4: Simplify right side
    10,664.66x = 159,382,875.04
  5. Step 5: Solve for x
    x = 159,382,875.04/10,664.66
  6. Step 6: Final answer
    x = 14,944.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.