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Finding the Fourth Proportional to 11,776.80, 17,749.89 and 10,152.96

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Solution

The fourth proportional to 11,776.80, 17,749.89 and 10,152.96 is: 15,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.80 : 17,749.89 = 10,152.96 : x
  2. Step 2: Convert to fraction form
    11,776.80/17,749.89 = 10,152.96/x
  3. Step 3: Cross multiply
    11,776.80x = 17,749.89 × 10,152.96
  4. Step 4: Simplify right side
    11,776.80x = 180,213,923.17
  5. Step 5: Solve for x
    x = 180,213,923.17/11,776.80
  6. Step 6: Final answer
    x = 15,302.45

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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.