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Finding the Fourth Proportional to 2,390, 3,297.36 and 1,505.48

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Solution

The fourth proportional to 2,390, 3,297.36 and 1,505.48 is: 2,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390 : 3,297.36 = 1,505.48 : x
  2. Step 2: Convert to fraction form
    2,390/3,297.36 = 1,505.48/x
  3. Step 3: Cross multiply
    2,390x = 3,297.36 × 1,505.48
  4. Step 4: Simplify right side
    2,390x = 4,964,109.53
  5. Step 5: Solve for x
    x = 4,964,109.53/2,390
  6. Step 6: Final answer
    x = 2,077.03

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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.