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Finding the Fourth Proportional to 3,090.78, 4,635.72 and 899.22

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Solution

The fourth proportional to 3,090.78, 4,635.72 and 899.22 is: 1,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.78 : 4,635.72 = 899.22 : x
  2. Step 2: Convert to fraction form
    3,090.78/4,635.72 = 899.22/x
  3. Step 3: Cross multiply
    3,090.78x = 4,635.72 × 899.22
  4. Step 4: Simplify right side
    3,090.78x = 4,168,532.14
  5. Step 5: Solve for x
    x = 4,168,532.14/3,090.78
  6. Step 6: Final answer
    x = 1,348.70

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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.