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Finding the Fourth Proportional to 3,090.60, 4,635.90 and 782.10

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Solution

The fourth proportional to 3,090.60, 4,635.90 and 782.10 is: 1,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.60 : 4,635.90 = 782.10 : x
  2. Step 2: Convert to fraction form
    3,090.60/4,635.90 = 782.10/x
  3. Step 3: Cross multiply
    3,090.60x = 4,635.90 × 782.10
  4. Step 4: Simplify right side
    3,090.60x = 3,625,737.39
  5. Step 5: Solve for x
    x = 3,625,737.39/3,090.60
  6. Step 6: Final answer
    x = 1,173.15

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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.