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Finding the Fourth Proportional to 8,690.49, 11,986.50 and 5,705.24

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Solution

The fourth proportional to 8,690.49, 11,986.50 and 5,705.24 is: 7,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.49 : 11,986.50 = 5,705.24 : x
  2. Step 2: Convert to fraction form
    8,690.49/11,986.50 = 5,705.24/x
  3. Step 3: Cross multiply
    8,690.49x = 11,986.50 × 5,705.24
  4. Step 4: Simplify right side
    8,690.49x = 68,385,820.72
  5. Step 5: Solve for x
    x = 68,385,820.72/8,690.49
  6. Step 6: Final answer
    x = 7,869.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.