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Finding the Fourth Proportional to 3,157.60, 4,736.40 and 2,428.60

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Solution

The fourth proportional to 3,157.60, 4,736.40 and 2,428.60 is: 3,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.60 : 4,736.40 = 2,428.60 : x
  2. Step 2: Convert to fraction form
    3,157.60/4,736.40 = 2,428.60/x
  3. Step 3: Cross multiply
    3,157.60x = 4,736.40 × 2,428.60
  4. Step 4: Simplify right side
    3,157.60x = 11,502,821.04
  5. Step 5: Solve for x
    x = 11,502,821.04/3,157.60
  6. Step 6: Final answer
    x = 3,642.90

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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.