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Finding the Fourth Proportional to 11,587.26, 16,003.56 and 7,803.85

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Solution

The fourth proportional to 11,587.26, 16,003.56 and 7,803.85 is: 10,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.26 : 16,003.56 = 7,803.85 : x
  2. Step 2: Convert to fraction form
    11,587.26/16,003.56 = 7,803.85/x
  3. Step 3: Cross multiply
    11,587.26x = 16,003.56 × 7,803.85
  4. Step 4: Simplify right side
    11,587.26x = 124,889,381.71
  5. Step 5: Solve for x
    x = 124,889,381.71/11,587.26
  6. Step 6: Final answer
    x = 10,778.16

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