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Finding the Fourth Proportional to 35,653.50, 49,214.79 and 20,749.50

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Solution

The fourth proportional to 35,653.50, 49,214.79 and 20,749.50 is: 28,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.50 : 49,214.79 = 20,749.50 : x
  2. Step 2: Convert to fraction form
    35,653.50/49,214.79 = 20,749.50/x
  3. Step 3: Cross multiply
    35,653.50x = 49,214.79 × 20,749.50
  4. Step 4: Simplify right side
    35,653.50x = 1,021,182,285.11
  5. Step 5: Solve for x
    x = 1,021,182,285.11/35,653.50
  6. Step 6: Final answer
    x = 28,641.85

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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.