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Finding the Fourth Proportional to 1,812.25, 2,500.91 and 984.25

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Solution

The fourth proportional to 1,812.25, 2,500.91 and 984.25 is: 1,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.25 : 2,500.91 = 984.25 : x
  2. Step 2: Convert to fraction form
    1,812.25/2,500.91 = 984.25/x
  3. Step 3: Cross multiply
    1,812.25x = 2,500.91 × 984.25
  4. Step 4: Simplify right side
    1,812.25x = 2,461,520.67
  5. Step 5: Solve for x
    x = 2,461,520.67/1,812.25
  6. Step 6: Final answer
    x = 1,358.27

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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.