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Finding the Fourth Proportional to 19,778.40, 29,656.80 and 8,078.40

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Solution

The fourth proportional to 19,778.40, 29,656.80 and 8,078.40 is: 12,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.40 : 29,656.80 = 8,078.40 : x
  2. Step 2: Convert to fraction form
    19,778.40/29,656.80 = 8,078.40/x
  3. Step 3: Cross multiply
    19,778.40x = 29,656.80 × 8,078.40
  4. Step 4: Simplify right side
    19,778.40x = 239,579,493.12
  5. Step 5: Solve for x
    x = 239,579,493.12/19,778.40
  6. Step 6: Final answer
    x = 12,113.19

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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.