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Finding the Fourth Proportional to 1,465.74, 2,188.31 and 1,349.82

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Solution

The fourth proportional to 1,465.74, 2,188.31 and 1,349.82 is: 2,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.74 : 2,188.31 = 1,349.82 : x
  2. Step 2: Convert to fraction form
    1,465.74/2,188.31 = 1,349.82/x
  3. Step 3: Cross multiply
    1,465.74x = 2,188.31 × 1,349.82
  4. Step 4: Simplify right side
    1,465.74x = 2,953,817.86
  5. Step 5: Solve for x
    x = 2,953,817.86/1,465.74
  6. Step 6: Final answer
    x = 2,015.24

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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.