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Finding the Fourth Proportional to 2,807.64, 3,866.67 and 2,258.46

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Solution

The fourth proportional to 2,807.64, 3,866.67 and 2,258.46 is: 3,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.64 : 3,866.67 = 2,258.46 : x
  2. Step 2: Convert to fraction form
    2,807.64/3,866.67 = 2,258.46/x
  3. Step 3: Cross multiply
    2,807.64x = 3,866.67 × 2,258.46
  4. Step 4: Simplify right side
    2,807.64x = 8,732,719.53
  5. Step 5: Solve for x
    x = 8,732,719.53/2,807.64
  6. Step 6: Final answer
    x = 3,110.34

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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.