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Finding the Fourth Proportional to 14,778.72, 20,394 and 8,064.18

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Solution

The fourth proportional to 14,778.72, 20,394 and 8,064.18 is: 11,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.72 : 20,394 = 8,064.18 : x
  2. Step 2: Convert to fraction form
    14,778.72/20,394 = 8,064.18/x
  3. Step 3: Cross multiply
    14,778.72x = 20,394 × 8,064.18
  4. Step 4: Simplify right side
    14,778.72x = 164,460,886.92
  5. Step 5: Solve for x
    x = 164,460,886.92/14,778.72
  6. Step 6: Final answer
    x = 11,128.22

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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.