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Finding the Fourth Proportional to 3,102.32, 4,653.42 and 762.32

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Solution

The fourth proportional to 3,102.32, 4,653.42 and 762.32 is: 1,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.32 : 4,653.42 = 762.32 : x
  2. Step 2: Convert to fraction form
    3,102.32/4,653.42 = 762.32/x
  3. Step 3: Cross multiply
    3,102.32x = 4,653.42 × 762.32
  4. Step 4: Simplify right side
    3,102.32x = 3,547,395.13
  5. Step 5: Solve for x
    x = 3,547,395.13/3,102.32
  6. Step 6: Final answer
    x = 1,143.47

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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.