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Finding the Fourth Proportional to 37,712, 52,044.18 and 20,945

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Solution

The fourth proportional to 37,712, 52,044.18 and 20,945 is: 28,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712 : 52,044.18 = 20,945 : x
  2. Step 2: Convert to fraction form
    37,712/52,044.18 = 20,945/x
  3. Step 3: Cross multiply
    37,712x = 52,044.18 × 20,945
  4. Step 4: Simplify right side
    37,712x = 1,090,065,350.10
  5. Step 5: Solve for x
    x = 1,090,065,350.10/37,712
  6. Step 6: Final answer
    x = 28,905.00

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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.