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Finding the Fourth Proportional to 30,550, 45,832.16 and 9,488.96

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Solution

The fourth proportional to 30,550, 45,832.16 and 9,488.96 is: 14,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,550 : 45,832.16 = 9,488.96 : x
  2. Step 2: Convert to fraction form
    30,550/45,832.16 = 9,488.96/x
  3. Step 3: Cross multiply
    30,550x = 45,832.16 × 9,488.96
  4. Step 4: Simplify right side
    30,550x = 434,899,532.95
  5. Step 5: Solve for x
    x = 434,899,532.95/30,550
  6. Step 6: Final answer
    x = 14,235.66

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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.