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Finding the Fourth Proportional to 8,243.96, 12,368.98 and 3,862.84

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Solution

The fourth proportional to 8,243.96, 12,368.98 and 3,862.84 is: 5,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.96 : 12,368.98 = 3,862.84 : x
  2. Step 2: Convert to fraction form
    8,243.96/12,368.98 = 3,862.84/x
  3. Step 3: Cross multiply
    8,243.96x = 12,368.98 × 3,862.84
  4. Step 4: Simplify right side
    8,243.96x = 47,779,390.70
  5. Step 5: Solve for x
    x = 47,779,390.70/8,243.96
  6. Step 6: Final answer
    x = 5,795.68

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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.