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Finding the Fourth Proportional to 37,140, 55,716.14 and 18,420.65

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Solution

The fourth proportional to 37,140, 55,716.14 and 18,420.65 is: 27,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140 : 55,716.14 = 18,420.65 : x
  2. Step 2: Convert to fraction form
    37,140/55,716.14 = 18,420.65/x
  3. Step 3: Cross multiply
    37,140x = 55,716.14 × 18,420.65
  4. Step 4: Simplify right side
    37,140x = 1,026,327,143.61
  5. Step 5: Solve for x
    x = 1,026,327,143.61/37,140
  6. Step 6: Final answer
    x = 27,634.01

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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.