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Finding the Fourth Proportional to 5,433.74, 8,149.74 and 1,538.42

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Solution

The fourth proportional to 5,433.74, 8,149.74 and 1,538.42 is: 2,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.74 : 8,149.74 = 1,538.42 : x
  2. Step 2: Convert to fraction form
    5,433.74/8,149.74 = 1,538.42/x
  3. Step 3: Cross multiply
    5,433.74x = 8,149.74 × 1,538.42
  4. Step 4: Simplify right side
    5,433.74x = 12,537,723.01
  5. Step 5: Solve for x
    x = 12,537,723.01/5,433.74
  6. Step 6: Final answer
    x = 2,307.38

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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.