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Finding the Fourth Proportional to 37,948, 52,368.78 and 21,181

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Solution

The fourth proportional to 37,948, 52,368.78 and 21,181 is: 29,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,948 : 52,368.78 = 21,181 : x
  2. Step 2: Convert to fraction form
    37,948/52,368.78 = 21,181/x
  3. Step 3: Cross multiply
    37,948x = 52,368.78 × 21,181
  4. Step 4: Simplify right side
    37,948x = 1,109,223,129.18
  5. Step 5: Solve for x
    x = 1,109,223,129.18/37,948
  6. Step 6: Final answer
    x = 29,230.08

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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.