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Finding the Fourth Proportional to 8,362.54, 12,547.41 and 3,169.90

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Solution

The fourth proportional to 8,362.54, 12,547.41 and 3,169.90 is: 4,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.54 : 12,547.41 = 3,169.90 : x
  2. Step 2: Convert to fraction form
    8,362.54/12,547.41 = 3,169.90/x
  3. Step 3: Cross multiply
    8,362.54x = 12,547.41 × 3,169.90
  4. Step 4: Simplify right side
    8,362.54x = 39,774,034.96
  5. Step 5: Solve for x
    x = 39,774,034.96/8,362.54
  6. Step 6: Final answer
    x = 4,756.21

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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.