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Finding the Fourth Proportional to 13,574.81, 18,729.16 and 8,787.17

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Solution

The fourth proportional to 13,574.81, 18,729.16 and 8,787.17 is: 12,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.81 : 18,729.16 = 8,787.17 : x
  2. Step 2: Convert to fraction form
    13,574.81/18,729.16 = 8,787.17/x
  3. Step 3: Cross multiply
    13,574.81x = 18,729.16 × 8,787.17
  4. Step 4: Simplify right side
    13,574.81x = 164,576,175.30
  5. Step 5: Solve for x
    x = 164,576,175.30/13,574.81
  6. Step 6: Final answer
    x = 12,123.65

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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.