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Finding the Fourth Proportional to 10,941.90, 16,412.85 and 9,905.10

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Solution

The fourth proportional to 10,941.90, 16,412.85 and 9,905.10 is: 14,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.90 : 16,412.85 = 9,905.10 : x
  2. Step 2: Convert to fraction form
    10,941.90/16,412.85 = 9,905.10/x
  3. Step 3: Cross multiply
    10,941.90x = 16,412.85 × 9,905.10
  4. Step 4: Simplify right side
    10,941.90x = 162,570,920.54
  5. Step 5: Solve for x
    x = 162,570,920.54/10,941.90
  6. Step 6: Final answer
    x = 14,857.65

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Similar ratio
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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.