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Finding the Fourth Proportional to 14,778.85, 20,394.17 and 8,064.31

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Solution

The fourth proportional to 14,778.85, 20,394.17 and 8,064.31 is: 11,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.85 : 20,394.17 = 8,064.31 : x
  2. Step 2: Convert to fraction form
    14,778.85/20,394.17 = 8,064.31/x
  3. Step 3: Cross multiply
    14,778.85x = 20,394.17 × 8,064.31
  4. Step 4: Simplify right side
    14,778.85x = 164,464,827.26
  5. Step 5: Solve for x
    x = 164,464,827.26/14,778.85
  6. Step 6: Final answer
    x = 11,128.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.