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Finding the Fourth Proportional to 35,814.47, 53,721.65 and 9,519.21

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Solution

The fourth proportional to 35,814.47, 53,721.65 and 9,519.21 is: 14,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,814.47 : 53,721.65 = 9,519.21 : x
  2. Step 2: Convert to fraction form
    35,814.47/53,721.65 = 9,519.21/x
  3. Step 3: Cross multiply
    35,814.47x = 53,721.65 × 9,519.21
  4. Step 4: Simplify right side
    35,814.47x = 511,387,922.64
  5. Step 5: Solve for x
    x = 511,387,922.64/35,814.47
  6. Step 6: Final answer
    x = 14,278.81

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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.