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Finding the Fourth Proportional to 15,871.74, 23,810.74 and 4,777.87

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Solution

The fourth proportional to 15,871.74, 23,810.74 and 4,777.87 is: 7,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.74 : 23,810.74 = 4,777.87 : x
  2. Step 2: Convert to fraction form
    15,871.74/23,810.74 = 4,777.87/x
  3. Step 3: Cross multiply
    15,871.74x = 23,810.74 × 4,777.87
  4. Step 4: Simplify right side
    15,871.74x = 113,764,620.32
  5. Step 5: Solve for x
    x = 113,764,620.32/15,871.74
  6. Step 6: Final answer
    x = 7,167.75

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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.