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Finding the Fourth Proportional to 5,146.51, 7,084.51 and 3,885.57

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Solution

The fourth proportional to 5,146.51, 7,084.51 and 3,885.57 is: 5,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.51 : 7,084.51 = 3,885.57 : x
  2. Step 2: Convert to fraction form
    5,146.51/7,084.51 = 3,885.57/x
  3. Step 3: Cross multiply
    5,146.51x = 7,084.51 × 3,885.57
  4. Step 4: Simplify right side
    5,146.51x = 27,527,371.66
  5. Step 5: Solve for x
    x = 27,527,371.66/5,146.51
  6. Step 6: Final answer
    x = 5,348.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.