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Finding the Fourth Proportional to 1,577.01, 2,175.81 and 1,017.81

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Solution

The fourth proportional to 1,577.01, 2,175.81 and 1,017.81 is: 1,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.01 : 2,175.81 = 1,017.81 : x
  2. Step 2: Convert to fraction form
    1,577.01/2,175.81 = 1,017.81/x
  3. Step 3: Cross multiply
    1,577.01x = 2,175.81 × 1,017.81
  4. Step 4: Simplify right side
    1,577.01x = 2,214,550.30
  5. Step 5: Solve for x
    x = 2,214,550.30/1,577.01
  6. Step 6: Final answer
    x = 1,404.28

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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.