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Finding the Fourth Proportional to 11,580.53, 15,982.11 and 9,688.77

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Solution

The fourth proportional to 11,580.53, 15,982.11 and 9,688.77 is: 13,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.53 : 15,982.11 = 9,688.77 : x
  2. Step 2: Convert to fraction form
    11,580.53/15,982.11 = 9,688.77/x
  3. Step 3: Cross multiply
    11,580.53x = 15,982.11 × 9,688.77
  4. Step 4: Simplify right side
    11,580.53x = 154,846,987.90
  5. Step 5: Solve for x
    x = 154,846,987.90/11,580.53
  6. Step 6: Final answer
    x = 13,371.33

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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.