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Finding the Fourth Proportional to 47,779.25, 65,943.32 and 27,647.91

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Solution

The fourth proportional to 47,779.25, 65,943.32 and 27,647.91 is: 38,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.25 : 65,943.32 = 27,647.91 : x
  2. Step 2: Convert to fraction form
    47,779.25/65,943.32 = 27,647.91/x
  3. Step 3: Cross multiply
    47,779.25x = 65,943.32 × 27,647.91
  4. Step 4: Simplify right side
    47,779.25x = 1,823,194,838.22
  5. Step 5: Solve for x
    x = 1,823,194,838.22/47,779.25
  6. Step 6: Final answer
    x = 38,158.72

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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.