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Finding the Fourth Proportional to 1,797.18, 2,480.12 and 1,011.23

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Solution

The fourth proportional to 1,797.18, 2,480.12 and 1,011.23 is: 1,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.18 : 2,480.12 = 1,011.23 : x
  2. Step 2: Convert to fraction form
    1,797.18/2,480.12 = 1,011.23/x
  3. Step 3: Cross multiply
    1,797.18x = 2,480.12 × 1,011.23
  4. Step 4: Simplify right side
    1,797.18x = 2,507,971.75
  5. Step 5: Solve for x
    x = 2,507,971.75/1,797.18
  6. Step 6: Final answer
    x = 1,395.50

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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.