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Finding the Fourth Proportional to 35,478.78, 48,909.86 and 27,911.99

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Solution

The fourth proportional to 35,478.78, 48,909.86 and 27,911.99 is: 38,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.78 : 48,909.86 = 27,911.99 : x
  2. Step 2: Convert to fraction form
    35,478.78/48,909.86 = 27,911.99/x
  3. Step 3: Cross multiply
    35,478.78x = 48,909.86 × 27,911.99
  4. Step 4: Simplify right side
    35,478.78x = 1,365,171,610.61
  5. Step 5: Solve for x
    x = 1,365,171,610.61/35,478.78
  6. Step 6: Final answer
    x = 38,478.53

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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.