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Finding the Fourth Proportional to 12,784.80, 19,180.80 and 5,385.40

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Solution

The fourth proportional to 12,784.80, 19,180.80 and 5,385.40 is: 8,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.80 : 19,180.80 = 5,385.40 : x
  2. Step 2: Convert to fraction form
    12,784.80/19,180.80 = 5,385.40/x
  3. Step 3: Cross multiply
    12,784.80x = 19,180.80 × 5,385.40
  4. Step 4: Simplify right side
    12,784.80x = 103,296,280.32
  5. Step 5: Solve for x
    x = 103,296,280.32/12,784.80
  6. Step 6: Final answer
    x = 8,079.62

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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.