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Finding the Fourth Proportional to 2,370, 3,270.96 and 1,438.32

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Solution

The fourth proportional to 2,370, 3,270.96 and 1,438.32 is: 1,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370 : 3,270.96 = 1,438.32 : x
  2. Step 2: Convert to fraction form
    2,370/3,270.96 = 1,438.32/x
  3. Step 3: Cross multiply
    2,370x = 3,270.96 × 1,438.32
  4. Step 4: Simplify right side
    2,370x = 4,704,687.19
  5. Step 5: Solve for x
    x = 4,704,687.19/2,370
  6. Step 6: Final answer
    x = 1,985.10

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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.