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Finding the Fourth Proportional to 3,090.38, 4,635.57 and 781.88

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Solution

The fourth proportional to 3,090.38, 4,635.57 and 781.88 is: 1,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.38 : 4,635.57 = 781.88 : x
  2. Step 2: Convert to fraction form
    3,090.38/4,635.57 = 781.88/x
  3. Step 3: Cross multiply
    3,090.38x = 4,635.57 × 781.88
  4. Step 4: Simplify right side
    3,090.38x = 3,624,459.47
  5. Step 5: Solve for x
    x = 3,624,459.47/3,090.38
  6. Step 6: Final answer
    x = 1,172.82

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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.