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Finding the Fourth Proportional to 14,787.82, 20,407.22 and 9,482.64

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Solution

The fourth proportional to 14,787.82, 20,407.22 and 9,482.64 is: 13,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.82 : 20,407.22 = 9,482.64 : x
  2. Step 2: Convert to fraction form
    14,787.82/20,407.22 = 9,482.64/x
  3. Step 3: Cross multiply
    14,787.82x = 20,407.22 × 9,482.64
  4. Step 4: Simplify right side
    14,787.82x = 193,514,320.66
  5. Step 5: Solve for x
    x = 193,514,320.66/14,787.82
  6. Step 6: Final answer
    x = 13,086.06

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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.