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Finding the Fourth Proportional to 35,782.97, 53,641.64 and 12,393

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Solution

The fourth proportional to 35,782.97, 53,641.64 and 12,393 is: 18,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.97 : 53,641.64 = 12,393 : x
  2. Step 2: Convert to fraction form
    35,782.97/53,641.64 = 12,393/x
  3. Step 3: Cross multiply
    35,782.97x = 53,641.64 × 12,393
  4. Step 4: Simplify right side
    35,782.97x = 664,780,875.50
  5. Step 5: Solve for x
    x = 664,780,875.50/35,782.97
  6. Step 6: Final answer
    x = 18,578.14

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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.