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Finding the Fourth Proportional to 12,781.80, 19,070.03 and 11,378.48

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Solution

The fourth proportional to 12,781.80, 19,070.03 and 11,378.48 is: 16,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.80 : 19,070.03 = 11,378.48 : x
  2. Step 2: Convert to fraction form
    12,781.80/19,070.03 = 11,378.48/x
  3. Step 3: Cross multiply
    12,781.80x = 19,070.03 × 11,378.48
  4. Step 4: Simplify right side
    12,781.80x = 216,987,888.05
  5. Step 5: Solve for x
    x = 216,987,888.05/12,781.80
  6. Step 6: Final answer
    x = 16,976.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.