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Finding the Fourth Proportional to 2,410.50, 3,615.90 and 767.07

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Solution

The fourth proportional to 2,410.50, 3,615.90 and 767.07 is: 1,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.50 : 3,615.90 = 767.07 : x
  2. Step 2: Convert to fraction form
    2,410.50/3,615.90 = 767.07/x
  3. Step 3: Cross multiply
    2,410.50x = 3,615.90 × 767.07
  4. Step 4: Simplify right side
    2,410.50x = 2,773,648.41
  5. Step 5: Solve for x
    x = 2,773,648.41/2,410.50
  6. Step 6: Final answer
    x = 1,150.65

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Double scale
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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.