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Finding the Fourth Proportional to 34,767.22, 47,978.72 and 18,851.65

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Solution

The fourth proportional to 34,767.22, 47,978.72 and 18,851.65 is: 26,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767.22 : 47,978.72 = 18,851.65 : x
  2. Step 2: Convert to fraction form
    34,767.22/47,978.72 = 18,851.65/x
  3. Step 3: Cross multiply
    34,767.22x = 47,978.72 × 18,851.65
  4. Step 4: Simplify right side
    34,767.22x = 904,478,036.89
  5. Step 5: Solve for x
    x = 904,478,036.89/34,767.22
  6. Step 6: Final answer
    x = 26,015.25

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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.