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Finding the Fourth Proportional to 37,587, 51,871.68 and 20,820

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Solution

The fourth proportional to 37,587, 51,871.68 and 20,820 is: 28,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,587 : 51,871.68 = 20,820 : x
  2. Step 2: Convert to fraction form
    37,587/51,871.68 = 20,820/x
  3. Step 3: Cross multiply
    37,587x = 51,871.68 × 20,820
  4. Step 4: Simplify right side
    37,587x = 1,079,968,377.60
  5. Step 5: Solve for x
    x = 1,079,968,377.60/37,587
  6. Step 6: Final answer
    x = 28,732.50

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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.