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Finding the Fourth Proportional to 8,947.86, 13,415.31 and 4,264.98

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Solution

The fourth proportional to 8,947.86, 13,415.31 and 4,264.98 is: 6,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.86 : 13,415.31 = 4,264.98 : x
  2. Step 2: Convert to fraction form
    8,947.86/13,415.31 = 4,264.98/x
  3. Step 3: Cross multiply
    8,947.86x = 13,415.31 × 4,264.98
  4. Step 4: Simplify right side
    8,947.86x = 57,216,028.84
  5. Step 5: Solve for x
    x = 57,216,028.84/8,947.86
  6. Step 6: Final answer
    x = 6,394.38

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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.