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Finding the Fourth Proportional to 30,262.57, 45,401.15 and 9,486.07

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Solution

The fourth proportional to 30,262.57, 45,401.15 and 9,486.07 is: 14,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.57 : 45,401.15 = 9,486.07 : x
  2. Step 2: Convert to fraction form
    30,262.57/45,401.15 = 9,486.07/x
  3. Step 3: Cross multiply
    30,262.57x = 45,401.15 × 9,486.07
  4. Step 4: Simplify right side
    30,262.57x = 430,678,498.20
  5. Step 5: Solve for x
    x = 430,678,498.20/30,262.57
  6. Step 6: Final answer
    x = 14,231.39

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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.