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Finding the Fourth Proportional to 8,386.50, 12,579.32 and 2,840.06

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Solution

The fourth proportional to 8,386.50, 12,579.32 and 2,840.06 is: 4,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.50 : 12,579.32 = 2,840.06 : x
  2. Step 2: Convert to fraction form
    8,386.50/12,579.32 = 2,840.06/x
  3. Step 3: Cross multiply
    8,386.50x = 12,579.32 × 2,840.06
  4. Step 4: Simplify right side
    8,386.50x = 35,726,023.56
  5. Step 5: Solve for x
    x = 35,726,023.56/8,386.50
  6. Step 6: Final answer
    x = 4,259.94

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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.