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Finding the Fourth Proportional to 30,054.56, 45,079.20 and 9,276

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Solution

The fourth proportional to 30,054.56, 45,079.20 and 9,276 is: 13,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.56 : 45,079.20 = 9,276 : x
  2. Step 2: Convert to fraction form
    30,054.56/45,079.20 = 9,276/x
  3. Step 3: Cross multiply
    30,054.56x = 45,079.20 × 9,276
  4. Step 4: Simplify right side
    30,054.56x = 418,154,659.20
  5. Step 5: Solve for x
    x = 418,154,659.20/30,054.56
  6. Step 6: Final answer
    x = 13,913.19

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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.