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Finding the Fourth Proportional to 11,586.84, 15,977.16 and 8,608.20

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Solution

The fourth proportional to 11,586.84, 15,977.16 and 8,608.20 is: 11,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.84 : 15,977.16 = 8,608.20 : x
  2. Step 2: Convert to fraction form
    11,586.84/15,977.16 = 8,608.20/x
  3. Step 3: Cross multiply
    11,586.84x = 15,977.16 × 8,608.20
  4. Step 4: Simplify right side
    11,586.84x = 137,534,588.71
  5. Step 5: Solve for x
    x = 137,534,588.71/11,586.84
  6. Step 6: Final answer
    x = 11,869.90

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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.