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Finding the Fourth Proportional to 3,086, 4,258.68 and 1,688.76

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Solution

The fourth proportional to 3,086, 4,258.68 and 1,688.76 is: 2,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086 : 4,258.68 = 1,688.76 : x
  2. Step 2: Convert to fraction form
    3,086/4,258.68 = 1,688.76/x
  3. Step 3: Cross multiply
    3,086x = 4,258.68 × 1,688.76
  4. Step 4: Simplify right side
    3,086x = 7,191,888.44
  5. Step 5: Solve for x
    x = 7,191,888.44/3,086
  6. Step 6: Final answer
    x = 2,330.49

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Double scale
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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.