Home / 8,178-12,266.73-2,631.66

Finding the Fourth Proportional to 8,178, 12,266.73 and 2,631.66

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Solution

The fourth proportional to 8,178, 12,266.73 and 2,631.66 is: 3,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 12,266.73 = 2,631.66 : x
  2. Step 2: Convert to fraction form
    8,178/12,266.73 = 2,631.66/x
  3. Step 3: Cross multiply
    8,178x = 12,266.73 × 2,631.66
  4. Step 4: Simplify right side
    8,178x = 32,281,862.67
  5. Step 5: Solve for x
    x = 32,281,862.67/8,178
  6. Step 6: Final answer
    x = 3,947.40

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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.