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Finding the Fourth Proportional to 1,275.64, 1,911.81 and 1,102.30

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Solution

The fourth proportional to 1,275.64, 1,911.81 and 1,102.30 is: 1,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.64 : 1,911.81 = 1,102.30 : x
  2. Step 2: Convert to fraction form
    1,275.64/1,911.81 = 1,102.30/x
  3. Step 3: Cross multiply
    1,275.64x = 1,911.81 × 1,102.30
  4. Step 4: Simplify right side
    1,275.64x = 2,107,388.16
  5. Step 5: Solve for x
    x = 2,107,388.16/1,275.64
  6. Step 6: Final answer
    x = 1,652.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.