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Finding the Fourth Proportional to 7,261.76, 10,896 and 5,615.84

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Solution

The fourth proportional to 7,261.76, 10,896 and 5,615.84 is: 8,426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.76 : 10,896 = 5,615.84 : x
  2. Step 2: Convert to fraction form
    7,261.76/10,896 = 5,615.84/x
  3. Step 3: Cross multiply
    7,261.76x = 10,896 × 5,615.84
  4. Step 4: Simplify right side
    7,261.76x = 61,190,192.64
  5. Step 5: Solve for x
    x = 61,190,192.64/7,261.76
  6. Step 6: Final answer
    x = 8,426.36

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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.