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Finding the Fourth Proportional to 35,853, 53,798.94 and 17,385

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Solution

The fourth proportional to 35,853, 53,798.94 and 17,385 is: 26,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,853 : 53,798.94 = 17,385 : x
  2. Step 2: Convert to fraction form
    35,853/53,798.94 = 17,385/x
  3. Step 3: Cross multiply
    35,853x = 53,798.94 × 17,385
  4. Step 4: Simplify right side
    35,853x = 935,294,571.90
  5. Step 5: Solve for x
    x = 935,294,571.90/35,853
  6. Step 6: Final answer
    x = 26,086.93

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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.