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Finding the Fourth Proportional to 30,034.56, 45,054.24 and 9,258

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Solution

The fourth proportional to 30,034.56, 45,054.24 and 9,258 is: 13,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.56 : 45,054.24 = 9,258 : x
  2. Step 2: Convert to fraction form
    30,034.56/45,054.24 = 9,258/x
  3. Step 3: Cross multiply
    30,034.56x = 45,054.24 × 9,258
  4. Step 4: Simplify right side
    30,034.56x = 417,112,153.92
  5. Step 5: Solve for x
    x = 417,112,153.92/30,034.56
  6. Step 6: Final answer
    x = 13,887.74

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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.