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Finding the Fourth Proportional to 35,982, 53,981.64 and 11,358

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Solution

The fourth proportional to 35,982, 53,981.64 and 11,358 is: 17,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982 : 53,981.64 = 11,358 : x
  2. Step 2: Convert to fraction form
    35,982/53,981.64 = 11,358/x
  3. Step 3: Cross multiply
    35,982x = 53,981.64 × 11,358
  4. Step 4: Simplify right side
    35,982x = 613,123,467.12
  5. Step 5: Solve for x
    x = 613,123,467.12/35,982
  6. Step 6: Final answer
    x = 17,039.73

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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.