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Finding the Fourth Proportional to 11,881.67, 16,400.41 and 7,402.77

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Solution

The fourth proportional to 11,881.67, 16,400.41 and 7,402.77 is: 10,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.67 : 16,400.41 = 7,402.77 : x
  2. Step 2: Convert to fraction form
    11,881.67/16,400.41 = 7,402.77/x
  3. Step 3: Cross multiply
    11,881.67x = 16,400.41 × 7,402.77
  4. Step 4: Simplify right side
    11,881.67x = 121,408,444.63
  5. Step 5: Solve for x
    x = 121,408,444.63/11,881.67
  6. Step 6: Final answer
    x = 10,218.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.