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Finding the Fourth Proportional to 35,518, 49,016.40 and 20,415.52

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Solution

The fourth proportional to 35,518, 49,016.40 and 20,415.52 is: 28,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,518 : 49,016.40 = 20,415.52 : x
  2. Step 2: Convert to fraction form
    35,518/49,016.40 = 20,415.52/x
  3. Step 3: Cross multiply
    35,518x = 49,016.40 × 20,415.52
  4. Step 4: Simplify right side
    35,518x = 1,000,695,294.53
  5. Step 5: Solve for x
    x = 1,000,695,294.53/35,518
  6. Step 6: Final answer
    x = 28,174.31

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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.