Home / 2,040.84-2,816.64-1,157.00

Finding the Fourth Proportional to 2,040.84, 2,816.64 and 1,157.00

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Solution

The fourth proportional to 2,040.84, 2,816.64 and 1,157.00 is: 1,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.84 : 2,816.64 = 1,157.00 : x
  2. Step 2: Convert to fraction form
    2,040.84/2,816.64 = 1,157.00/x
  3. Step 3: Cross multiply
    2,040.84x = 2,816.64 × 1,157.00
  4. Step 4: Simplify right side
    2,040.84x = 3,258,838.40
  5. Step 5: Solve for x
    x = 3,258,838.40/2,040.84
  6. Step 6: Final answer
    x = 1,596.81

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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.