Home / 3,830.40-5,286.64-2,258.40

Finding the Fourth Proportional to 3,830.40, 5,286.64 and 2,258.40

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Solution

The fourth proportional to 3,830.40, 5,286.64 and 2,258.40 is: 3,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.40 : 5,286.64 = 2,258.40 : x
  2. Step 2: Convert to fraction form
    3,830.40/5,286.64 = 2,258.40/x
  3. Step 3: Cross multiply
    3,830.40x = 5,286.64 × 2,258.40
  4. Step 4: Simplify right side
    3,830.40x = 11,939,347.78
  5. Step 5: Solve for x
    x = 11,939,347.78/3,830.40
  6. Step 6: Final answer
    x = 3,117.00

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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.