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Finding the Fourth Proportional to 12,778.76, 19,174.32 and 5,763.76

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Solution

The fourth proportional to 12,778.76, 19,174.32 and 5,763.76 is: 8,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.76 : 19,174.32 = 5,763.76 : x
  2. Step 2: Convert to fraction form
    12,778.76/19,174.32 = 5,763.76/x
  3. Step 3: Cross multiply
    12,778.76x = 19,174.32 × 5,763.76
  4. Step 4: Simplify right side
    12,778.76x = 110,516,130.71
  5. Step 5: Solve for x
    x = 110,516,130.71/12,778.76
  6. Step 6: Final answer
    x = 8,648.42

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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.