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Finding the Fourth Proportional to 5,715.42, 7,869.76 and 5,003.28

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Solution

The fourth proportional to 5,715.42, 7,869.76 and 5,003.28 is: 6,889.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.42 : 7,869.76 = 5,003.28 : x
  2. Step 2: Convert to fraction form
    5,715.42/7,869.76 = 5,003.28/x
  3. Step 3: Cross multiply
    5,715.42x = 7,869.76 × 5,003.28
  4. Step 4: Simplify right side
    5,715.42x = 39,374,632.49
  5. Step 5: Solve for x
    x = 39,374,632.49/5,715.42
  6. Step 6: Final answer
    x = 6,889.19

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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.