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Finding the Fourth Proportional to 39,565, 54,599.70 and 21,901

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Solution

The fourth proportional to 39,565, 54,599.70 and 21,901 is: 30,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,565 : 54,599.70 = 21,901 : x
  2. Step 2: Convert to fraction form
    39,565/54,599.70 = 21,901/x
  3. Step 3: Cross multiply
    39,565x = 54,599.70 × 21,901
  4. Step 4: Simplify right side
    39,565x = 1,195,788,029.70
  5. Step 5: Solve for x
    x = 1,195,788,029.70/39,565
  6. Step 6: Final answer
    x = 30,223.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.