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Finding the Fourth Proportional to 12,530.16, 18,808.07 and 9,787.23

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Solution

The fourth proportional to 12,530.16, 18,808.07 and 9,787.23 is: 14,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.16 : 18,808.07 = 9,787.23 : x
  2. Step 2: Convert to fraction form
    12,530.16/18,808.07 = 9,787.23/x
  3. Step 3: Cross multiply
    12,530.16x = 18,808.07 × 9,787.23
  4. Step 4: Simplify right side
    12,530.16x = 184,078,858.01
  5. Step 5: Solve for x
    x = 184,078,858.01/12,530.16
  6. Step 6: Final answer
    x = 14,690.86

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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.