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Finding the Fourth Proportional to 35,605, 53,408.22 and 10,981

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Solution

The fourth proportional to 35,605, 53,408.22 and 10,981 is: 16,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605 : 53,408.22 = 10,981 : x
  2. Step 2: Convert to fraction form
    35,605/53,408.22 = 10,981/x
  3. Step 3: Cross multiply
    35,605x = 53,408.22 × 10,981
  4. Step 4: Simplify right side
    35,605x = 586,475,663.82
  5. Step 5: Solve for x
    x = 586,475,663.82/35,605
  6. Step 6: Final answer
    x = 16,471.72

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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.