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Finding the Fourth Proportional to 2,610.60, 3,915.38 and 761.28

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Solution

The fourth proportional to 2,610.60, 3,915.38 and 761.28 is: 1,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.60 : 3,915.38 = 761.28 : x
  2. Step 2: Convert to fraction form
    2,610.60/3,915.38 = 761.28/x
  3. Step 3: Cross multiply
    2,610.60x = 3,915.38 × 761.28
  4. Step 4: Simplify right side
    2,610.60x = 2,980,700.49
  5. Step 5: Solve for x
    x = 2,980,700.49/2,610.60
  6. Step 6: Final answer
    x = 1,141.77

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1.5x scale

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.