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Finding the Fourth Proportional to 10,954.93, 16,416.77 and 8,446.63

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Solution

The fourth proportional to 10,954.93, 16,416.77 and 8,446.63 is: 12,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.93 : 16,416.77 = 8,446.63 : x
  2. Step 2: Convert to fraction form
    10,954.93/16,416.77 = 8,446.63/x
  3. Step 3: Cross multiply
    10,954.93x = 16,416.77 × 8,446.63
  4. Step 4: Simplify right side
    10,954.93x = 138,666,339.75
  5. Step 5: Solve for x
    x = 138,666,339.75/10,954.93
  6. Step 6: Final answer
    x = 12,657.89

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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.