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Finding the Fourth Proportional to 41,978.16, 62,937.27 and 19,779.84

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Solution

The fourth proportional to 41,978.16, 62,937.27 and 19,779.84 is: 29,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978.16 : 62,937.27 = 19,779.84 : x
  2. Step 2: Convert to fraction form
    41,978.16/62,937.27 = 19,779.84/x
  3. Step 3: Cross multiply
    41,978.16x = 62,937.27 × 19,779.84
  4. Step 4: Simplify right side
    41,978.16x = 1,244,889,130.64
  5. Step 5: Solve for x
    x = 1,244,889,130.64/41,978.16
  6. Step 6: Final answer
    x = 29,655.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.