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Finding the Fourth Proportional to 27,258, 40,887 and 7,267.56

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Solution

The fourth proportional to 27,258, 40,887 and 7,267.56 is: 10,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258 : 40,887 = 7,267.56 : x
  2. Step 2: Convert to fraction form
    27,258/40,887 = 7,267.56/x
  3. Step 3: Cross multiply
    27,258x = 40,887 × 7,267.56
  4. Step 4: Simplify right side
    27,258x = 297,148,725.72
  5. Step 5: Solve for x
    x = 297,148,725.72/27,258
  6. Step 6: Final answer
    x = 10,901.34

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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.