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Finding the Fourth Proportional to 8,947.78, 13,420.11 and 2,374.63

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Solution

The fourth proportional to 8,947.78, 13,420.11 and 2,374.63 is: 3,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.78 : 13,420.11 = 2,374.63 : x
  2. Step 2: Convert to fraction form
    8,947.78/13,420.11 = 2,374.63/x
  3. Step 3: Cross multiply
    8,947.78x = 13,420.11 × 2,374.63
  4. Step 4: Simplify right side
    8,947.78x = 31,867,795.81
  5. Step 5: Solve for x
    x = 31,867,795.81/8,947.78
  6. Step 6: Final answer
    x = 3,561.53

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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.