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Finding the Fourth Proportional to 1,325.04, 1,826.04 and 1,292.64

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Solution

The fourth proportional to 1,325.04, 1,826.04 and 1,292.64 is: 1,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.04 : 1,826.04 = 1,292.64 : x
  2. Step 2: Convert to fraction form
    1,325.04/1,826.04 = 1,292.64/x
  3. Step 3: Cross multiply
    1,325.04x = 1,826.04 × 1,292.64
  4. Step 4: Simplify right side
    1,325.04x = 2,360,412.35
  5. Step 5: Solve for x
    x = 2,360,412.35/1,325.04
  6. Step 6: Final answer
    x = 1,781.39

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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.