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Finding the Fourth Proportional to 3,438.90, 4,748.08 and 3,037.50

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Solution

The fourth proportional to 3,438.90, 4,748.08 and 3,037.50 is: 4,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.90 : 4,748.08 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    3,438.90/4,748.08 = 3,037.50/x
  3. Step 3: Cross multiply
    3,438.90x = 4,748.08 × 3,037.50
  4. Step 4: Simplify right side
    3,438.90x = 14,422,293
  5. Step 5: Solve for x
    x = 14,422,293/3,438.90
  6. Step 6: Final answer
    x = 4,193.87

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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.