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Finding the Fourth Proportional to 8,219.98, 12,317.64 and 4,929.46

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Solution

The fourth proportional to 8,219.98, 12,317.64 and 4,929.46 is: 7,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.98 : 12,317.64 = 4,929.46 : x
  2. Step 2: Convert to fraction form
    8,219.98/12,317.64 = 4,929.46/x
  3. Step 3: Cross multiply
    8,219.98x = 12,317.64 × 4,929.46
  4. Step 4: Simplify right side
    8,219.98x = 60,719,264.39
  5. Step 5: Solve for x
    x = 60,719,264.39/8,219.98
  6. Step 6: Final answer
    x = 7,386.79

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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.