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Finding the Fourth Proportional to 3,577.50, 4,938.30 and 2,335.50

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Solution

The fourth proportional to 3,577.50, 4,938.30 and 2,335.50 is: 3,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.50 : 4,938.30 = 2,335.50 : x
  2. Step 2: Convert to fraction form
    3,577.50/4,938.30 = 2,335.50/x
  3. Step 3: Cross multiply
    3,577.50x = 4,938.30 × 2,335.50
  4. Step 4: Simplify right side
    3,577.50x = 11,533,399.65
  5. Step 5: Solve for x
    x = 11,533,399.65/3,577.50
  6. Step 6: Final answer
    x = 3,223.87

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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.