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Finding the Fourth Proportional to 4,821.28, 7,231.80 and 1,534.28

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Solution

The fourth proportional to 4,821.28, 7,231.80 and 1,534.28 is: 2,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.28 : 7,231.80 = 1,534.28 : x
  2. Step 2: Convert to fraction form
    4,821.28/7,231.80 = 1,534.28/x
  3. Step 3: Cross multiply
    4,821.28x = 7,231.80 × 1,534.28
  4. Step 4: Simplify right side
    4,821.28x = 11,095,606.10
  5. Step 5: Solve for x
    x = 11,095,606.10/4,821.28
  6. Step 6: Final answer
    x = 2,301.38

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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.