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Finding the Fourth Proportional to 10,906, 16,285.12 and 8,659.63

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Solution

The fourth proportional to 10,906, 16,285.12 and 8,659.63 is: 12,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906 : 16,285.12 = 8,659.63 : x
  2. Step 2: Convert to fraction form
    10,906/16,285.12 = 8,659.63/x
  3. Step 3: Cross multiply
    10,906x = 16,285.12 × 8,659.63
  4. Step 4: Simplify right side
    10,906x = 141,023,113.71
  5. Step 5: Solve for x
    x = 141,023,113.71/10,906
  6. Step 6: Final answer
    x = 12,930.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.