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Finding the Fourth Proportional to 1,352.66, 1,864.16 and 1,103.18

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Solution

The fourth proportional to 1,352.66, 1,864.16 and 1,103.18 is: 1,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.66 : 1,864.16 = 1,103.18 : x
  2. Step 2: Convert to fraction form
    1,352.66/1,864.16 = 1,103.18/x
  3. Step 3: Cross multiply
    1,352.66x = 1,864.16 × 1,103.18
  4. Step 4: Simplify right side
    1,352.66x = 2,056,489.19
  5. Step 5: Solve for x
    x = 2,056,489.19/1,352.66
  6. Step 6: Final answer
    x = 1,520.34

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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.