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Finding the Fourth Proportional to 8,986.96, 12,383.76 and 8,364.16

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Solution

The fourth proportional to 8,986.96, 12,383.76 and 8,364.16 is: 11,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.96 : 12,383.76 = 8,364.16 : x
  2. Step 2: Convert to fraction form
    8,986.96/12,383.76 = 8,364.16/x
  3. Step 3: Cross multiply
    8,986.96x = 12,383.76 × 8,364.16
  4. Step 4: Simplify right side
    8,986.96x = 103,579,750.04
  5. Step 5: Solve for x
    x = 103,579,750.04/8,986.96
  6. Step 6: Final answer
    x = 11,525.56

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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.