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Finding the Fourth Proportional to 30,513.78, 45,771.89 and 9,456.01

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Solution

The fourth proportional to 30,513.78, 45,771.89 and 9,456.01 is: 14,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.78 : 45,771.89 = 9,456.01 : x
  2. Step 2: Convert to fraction form
    30,513.78/45,771.89 = 9,456.01/x
  3. Step 3: Cross multiply
    30,513.78x = 45,771.89 × 9,456.01
  4. Step 4: Simplify right side
    30,513.78x = 432,819,287.85
  5. Step 5: Solve for x
    x = 432,819,287.85/30,513.78
  6. Step 6: Final answer
    x = 14,184.39

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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.