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Finding the Fourth Proportional to 47,813.90, 65,978.57 and 27,666.77

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Solution

The fourth proportional to 47,813.90, 65,978.57 and 27,666.77 is: 38,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,813.90 : 65,978.57 = 27,666.77 : x
  2. Step 2: Convert to fraction form
    47,813.90/65,978.57 = 27,666.77/x
  3. Step 3: Cross multiply
    47,813.90x = 65,978.57 × 27,666.77
  4. Step 4: Simplify right side
    47,813.90x = 1,825,413,782.79
  5. Step 5: Solve for x
    x = 1,825,413,782.79/47,813.90
  6. Step 6: Final answer
    x = 38,177.47

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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.