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Finding the Fourth Proportional to 1,812.60, 2,495.88 and 1,563.48

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Solution

The fourth proportional to 1,812.60, 2,495.88 and 1,563.48 is: 2,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.60 : 2,495.88 = 1,563.48 : x
  2. Step 2: Convert to fraction form
    1,812.60/2,495.88 = 1,563.48/x
  3. Step 3: Cross multiply
    1,812.60x = 2,495.88 × 1,563.48
  4. Step 4: Simplify right side
    1,812.60x = 3,902,258.46
  5. Step 5: Solve for x
    x = 3,902,258.46/1,812.60
  6. Step 6: Final answer
    x = 2,152.85

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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.