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Finding the Fourth Proportional to 8,386.70, 12,579.99 and 6,539.16

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Solution

The fourth proportional to 8,386.70, 12,579.99 and 6,539.16 is: 9,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.70 : 12,579.99 = 6,539.16 : x
  2. Step 2: Convert to fraction form
    8,386.70/12,579.99 = 6,539.16/x
  3. Step 3: Cross multiply
    8,386.70x = 12,579.99 × 6,539.16
  4. Step 4: Simplify right side
    8,386.70x = 82,262,567.41
  5. Step 5: Solve for x
    x = 82,262,567.41/8,386.70
  6. Step 6: Final answer
    x = 9,808.70

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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.