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Finding the Fourth Proportional to 12,876.64, 19,278.47 and 8,184.98

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Solution

The fourth proportional to 12,876.64, 19,278.47 and 8,184.98 is: 12,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.64 : 19,278.47 = 8,184.98 : x
  2. Step 2: Convert to fraction form
    12,876.64/19,278.47 = 8,184.98/x
  3. Step 3: Cross multiply
    12,876.64x = 19,278.47 × 8,184.98
  4. Step 4: Simplify right side
    12,876.64x = 157,793,960.04
  5. Step 5: Solve for x
    x = 157,793,960.04/12,876.64
  6. Step 6: Final answer
    x = 12,254.28

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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.