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Finding the Fourth Proportional to 8,431.41, 12,643.22 and 4,922.45

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Solution

The fourth proportional to 8,431.41, 12,643.22 and 4,922.45 is: 7,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.41 : 12,643.22 = 4,922.45 : x
  2. Step 2: Convert to fraction form
    8,431.41/12,643.22 = 4,922.45/x
  3. Step 3: Cross multiply
    8,431.41x = 12,643.22 × 4,922.45
  4. Step 4: Simplify right side
    8,431.41x = 62,235,567.38
  5. Step 5: Solve for x
    x = 62,235,567.38/8,431.41
  6. Step 6: Final answer
    x = 7,381.39

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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.