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Finding the Fourth Proportional to 4,948.44, 7,421.42 and 1,438.44

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Solution

The fourth proportional to 4,948.44, 7,421.42 and 1,438.44 is: 2,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.44 : 7,421.42 = 1,438.44 : x
  2. Step 2: Convert to fraction form
    4,948.44/7,421.42 = 1,438.44/x
  3. Step 3: Cross multiply
    4,948.44x = 7,421.42 × 1,438.44
  4. Step 4: Simplify right side
    4,948.44x = 10,675,267.38
  5. Step 5: Solve for x
    x = 10,675,267.38/4,948.44
  6. Step 6: Final answer
    x = 2,157.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.