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Finding the Fourth Proportional to 30,054.80, 45,081.12 and 9,278.30

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Solution

The fourth proportional to 30,054.80, 45,081.12 and 9,278.30 is: 13,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.80 : 45,081.12 = 9,278.30 : x
  2. Step 2: Convert to fraction form
    30,054.80/45,081.12 = 9,278.30/x
  3. Step 3: Cross multiply
    30,054.80x = 45,081.12 × 9,278.30
  4. Step 4: Simplify right side
    30,054.80x = 418,276,155.70
  5. Step 5: Solve for x
    x = 418,276,155.70/30,054.80
  6. Step 6: Final answer
    x = 13,917.12

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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.