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Finding the Fourth Proportional to 30,452.78, 45,678.68 and 9,105.54

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Solution

The fourth proportional to 30,452.78, 45,678.68 and 9,105.54 is: 13,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.78 : 45,678.68 = 9,105.54 : x
  2. Step 2: Convert to fraction form
    30,452.78/45,678.68 = 9,105.54/x
  3. Step 3: Cross multiply
    30,452.78x = 45,678.68 × 9,105.54
  4. Step 4: Simplify right side
    30,452.78x = 415,929,002.36
  5. Step 5: Solve for x
    x = 415,929,002.36/30,452.78
  6. Step 6: Final answer
    x = 13,658.16

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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.