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Finding the Fourth Proportional to 30,442.73, 45,656.14 and 9,090.42

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Solution

The fourth proportional to 30,442.73, 45,656.14 and 9,090.42 is: 13,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.73 : 45,656.14 = 9,090.42 : x
  2. Step 2: Convert to fraction form
    30,442.73/45,656.14 = 9,090.42/x
  3. Step 3: Cross multiply
    30,442.73x = 45,656.14 × 9,090.42
  4. Step 4: Simplify right side
    30,442.73x = 415,033,214.45
  5. Step 5: Solve for x
    x = 415,033,214.45/30,442.73
  6. Step 6: Final answer
    x = 13,633.25

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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.