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Finding the Fourth Proportional to 3,829, 5,284.10 and 2,258.76

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Solution

The fourth proportional to 3,829, 5,284.10 and 2,258.76 is: 3,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 5,284.10 = 2,258.76 : x
  2. Step 2: Convert to fraction form
    3,829/5,284.10 = 2,258.76/x
  3. Step 3: Cross multiply
    3,829x = 5,284.10 × 2,258.76
  4. Step 4: Simplify right side
    3,829x = 11,935,513.72
  5. Step 5: Solve for x
    x = 11,935,513.72/3,829
  6. Step 6: Final answer
    x = 3,117.14

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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.