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Finding the Fourth Proportional to 35,648.94, 53,455.41 and 20,862.30

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Solution

The fourth proportional to 35,648.94, 53,455.41 and 20,862.30 is: 31,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.94 : 53,455.41 = 20,862.30 : x
  2. Step 2: Convert to fraction form
    35,648.94/53,455.41 = 20,862.30/x
  3. Step 3: Cross multiply
    35,648.94x = 53,455.41 × 20,862.30
  4. Step 4: Simplify right side
    35,648.94x = 1,115,202,800.04
  5. Step 5: Solve for x
    x = 1,115,202,800.04/35,648.94
  6. Step 6: Final answer
    x = 31,282.92

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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.