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Finding the Fourth Proportional to 8,986.25, 12,401.16 and 5,209.70

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Solution

The fourth proportional to 8,986.25, 12,401.16 and 5,209.70 is: 7,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.25 : 12,401.16 = 5,209.70 : x
  2. Step 2: Convert to fraction form
    8,986.25/12,401.16 = 5,209.70/x
  3. Step 3: Cross multiply
    8,986.25x = 12,401.16 × 5,209.70
  4. Step 4: Simplify right side
    8,986.25x = 64,606,323.25
  5. Step 5: Solve for x
    x = 64,606,323.25/8,986.25
  6. Step 6: Final answer
    x = 7,189.46

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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.