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Finding the Fourth Proportional to 37,913, 52,319.94 and 21,146

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Solution

The fourth proportional to 37,913, 52,319.94 and 21,146 is: 29,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,913 : 52,319.94 = 21,146 : x
  2. Step 2: Convert to fraction form
    37,913/52,319.94 = 21,146/x
  3. Step 3: Cross multiply
    37,913x = 52,319.94 × 21,146
  4. Step 4: Simplify right side
    37,913x = 1,106,357,451.24
  5. Step 5: Solve for x
    x = 1,106,357,451.24/37,913
  6. Step 6: Final answer
    x = 29,181.48

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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.