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Finding the Fourth Proportional to 1,605.74, 2,214.42 and 1,015.22

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Solution

The fourth proportional to 1,605.74, 2,214.42 and 1,015.22 is: 1,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.74 : 2,214.42 = 1,015.22 : x
  2. Step 2: Convert to fraction form
    1,605.74/2,214.42 = 1,015.22/x
  3. Step 3: Cross multiply
    1,605.74x = 2,214.42 × 1,015.22
  4. Step 4: Simplify right side
    1,605.74x = 2,248,123.47
  5. Step 5: Solve for x
    x = 2,248,123.47/1,605.74
  6. Step 6: Final answer
    x = 1,400.05

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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.