Home / 1,638.84-2,258.82-1,142.40

Finding the Fourth Proportional to 1,638.84, 2,258.82 and 1,142.40

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Solution

The fourth proportional to 1,638.84, 2,258.82 and 1,142.40 is: 1,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.84 : 2,258.82 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    1,638.84/2,258.82 = 1,142.40/x
  3. Step 3: Cross multiply
    1,638.84x = 2,258.82 × 1,142.40
  4. Step 4: Simplify right side
    1,638.84x = 2,580,475.97
  5. Step 5: Solve for x
    x = 2,580,475.97/1,638.84
  6. Step 6: Final answer
    x = 1,574.57

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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.