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Finding the Fourth Proportional to 11,245.50, 15,510.96 and 7,887.24

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Solution

The fourth proportional to 11,245.50, 15,510.96 and 7,887.24 is: 10,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.50 : 15,510.96 = 7,887.24 : x
  2. Step 2: Convert to fraction form
    11,245.50/15,510.96 = 7,887.24/x
  3. Step 3: Cross multiply
    11,245.50x = 15,510.96 × 7,887.24
  4. Step 4: Simplify right side
    11,245.50x = 122,338,664.15
  5. Step 5: Solve for x
    x = 122,338,664.15/11,245.50
  6. Step 6: Final answer
    x = 10,878.90

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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.