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Finding the Fourth Proportional to 37,910, 52,315.80 and 21,143

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Solution

The fourth proportional to 37,910, 52,315.80 and 21,143 is: 29,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,910 : 52,315.80 = 21,143 : x
  2. Step 2: Convert to fraction form
    37,910/52,315.80 = 21,143/x
  3. Step 3: Cross multiply
    37,910x = 52,315.80 × 21,143
  4. Step 4: Simplify right side
    37,910x = 1,106,112,959.40
  5. Step 5: Solve for x
    x = 1,106,112,959.40/37,910
  6. Step 6: Final answer
    x = 29,177.34

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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.