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Finding the Fourth Proportional to 3,261.36, 4,892 and 1,528.76

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Solution

The fourth proportional to 3,261.36, 4,892 and 1,528.76 is: 2,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.36 : 4,892 = 1,528.76 : x
  2. Step 2: Convert to fraction form
    3,261.36/4,892 = 1,528.76/x
  3. Step 3: Cross multiply
    3,261.36x = 4,892 × 1,528.76
  4. Step 4: Simplify right side
    3,261.36x = 7,478,693.92
  5. Step 5: Solve for x
    x = 7,478,693.92/3,261.36
  6. Step 6: Final answer
    x = 2,293.12

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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.