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Finding the Fourth Proportional to 30,220, 45,331.62 and 9,445.12

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Solution

The fourth proportional to 30,220, 45,331.62 and 9,445.12 is: 14,168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220 : 45,331.62 = 9,445.12 : x
  2. Step 2: Convert to fraction form
    30,220/45,331.62 = 9,445.12/x
  3. Step 3: Cross multiply
    30,220x = 45,331.62 × 9,445.12
  4. Step 4: Simplify right side
    30,220x = 428,162,590.69
  5. Step 5: Solve for x
    x = 428,162,590.69/30,220
  6. Step 6: Final answer
    x = 14,168.19

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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.