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Finding the Fourth Proportional to 8,391.94, 12,564.22 and 4,434.23

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Solution

The fourth proportional to 8,391.94, 12,564.22 and 4,434.23 is: 6,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.94 : 12,564.22 = 4,434.23 : x
  2. Step 2: Convert to fraction form
    8,391.94/12,564.22 = 4,434.23/x
  3. Step 3: Cross multiply
    8,391.94x = 12,564.22 × 4,434.23
  4. Step 4: Simplify right side
    8,391.94x = 55,712,641.25
  5. Step 5: Solve for x
    x = 55,712,641.25/8,391.94
  6. Step 6: Final answer
    x = 6,638.83

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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.