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Finding the Fourth Proportional to 12,787.13, 17,646.95 and 7,684.21

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Solution

The fourth proportional to 12,787.13, 17,646.95 and 7,684.21 is: 10,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.13 : 17,646.95 = 7,684.21 : x
  2. Step 2: Convert to fraction form
    12,787.13/17,646.95 = 7,684.21/x
  3. Step 3: Cross multiply
    12,787.13x = 17,646.95 × 7,684.21
  4. Step 4: Simplify right side
    12,787.13x = 135,602,869.66
  5. Step 5: Solve for x
    x = 135,602,869.66/12,787.13
  6. Step 6: Final answer
    x = 10,604.64

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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.