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Finding the Fourth Proportional to 1,574.34, 2,350 and 1,460.26

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Solution

The fourth proportional to 1,574.34, 2,350 and 1,460.26 is: 2,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.34 : 2,350 = 1,460.26 : x
  2. Step 2: Convert to fraction form
    1,574.34/2,350 = 1,460.26/x
  3. Step 3: Cross multiply
    1,574.34x = 2,350 × 1,460.26
  4. Step 4: Simplify right side
    1,574.34x = 3,431,611
  5. Step 5: Solve for x
    x = 3,431,611/1,574.34
  6. Step 6: Final answer
    x = 2,179.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.