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Finding the Fourth Proportional to 7,881.24, 11,803.02 and 5,543.64

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Solution

The fourth proportional to 7,881.24, 11,803.02 and 5,543.64 is: 8,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.24 : 11,803.02 = 5,543.64 : x
  2. Step 2: Convert to fraction form
    7,881.24/11,803.02 = 5,543.64/x
  3. Step 3: Cross multiply
    7,881.24x = 11,803.02 × 5,543.64
  4. Step 4: Simplify right side
    7,881.24x = 65,431,693.79
  5. Step 5: Solve for x
    x = 65,431,693.79/7,881.24
  6. Step 6: Final answer
    x = 8,302.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.