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Finding the Fourth Proportional to 2,635.46, 3,953.36 and 761.40

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Solution

The fourth proportional to 2,635.46, 3,953.36 and 761.40 is: 1,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.46 : 3,953.36 = 761.40 : x
  2. Step 2: Convert to fraction form
    2,635.46/3,953.36 = 761.40/x
  3. Step 3: Cross multiply
    2,635.46x = 3,953.36 × 761.40
  4. Step 4: Simplify right side
    2,635.46x = 3,010,088.30
  5. Step 5: Solve for x
    x = 3,010,088.30/2,635.46
  6. Step 6: Final answer
    x = 1,142.15

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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.