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Finding the Fourth Proportional to 3,132.40, 4,322.40 and 1,735.06

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Solution

The fourth proportional to 3,132.40, 4,322.40 and 1,735.06 is: 2,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.40 : 4,322.40 = 1,735.06 : x
  2. Step 2: Convert to fraction form
    3,132.40/4,322.40 = 1,735.06/x
  3. Step 3: Cross multiply
    3,132.40x = 4,322.40 × 1,735.06
  4. Step 4: Simplify right side
    3,132.40x = 7,499,623.34
  5. Step 5: Solve for x
    x = 7,499,623.34/3,132.40
  6. Step 6: Final answer
    x = 2,394.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.