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Finding the Fourth Proportional to 11,434.80, 15,787.80 and 8,777.52

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Solution

The fourth proportional to 11,434.80, 15,787.80 and 8,777.52 is: 12,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.80 : 15,787.80 = 8,777.52 : x
  2. Step 2: Convert to fraction form
    11,434.80/15,787.80 = 8,777.52/x
  3. Step 3: Cross multiply
    11,434.80x = 15,787.80 × 8,777.52
  4. Step 4: Simplify right side
    11,434.80x = 138,577,730.26
  5. Step 5: Solve for x
    x = 138,577,730.26/11,434.80
  6. Step 6: Final answer
    x = 12,118.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.