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Finding the Fourth Proportional to 18,175.68, 27,258.48 and 7,785

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Solution

The fourth proportional to 18,175.68, 27,258.48 and 7,785 is: 11,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175.68 : 27,258.48 = 7,785 : x
  2. Step 2: Convert to fraction form
    18,175.68/27,258.48 = 7,785/x
  3. Step 3: Cross multiply
    18,175.68x = 27,258.48 × 7,785
  4. Step 4: Simplify right side
    18,175.68x = 212,207,266.80
  5. Step 5: Solve for x
    x = 212,207,266.80/18,175.68
  6. Step 6: Final answer
    x = 11,675.34

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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.