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Finding the Fourth Proportional to 13,563, 18,725.67 and 9,312.69

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Solution

The fourth proportional to 13,563, 18,725.67 and 9,312.69 is: 12,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563 : 18,725.67 = 9,312.69 : x
  2. Step 2: Convert to fraction form
    13,563/18,725.67 = 9,312.69/x
  3. Step 3: Cross multiply
    13,563x = 18,725.67 × 9,312.69
  4. Step 4: Simplify right side
    13,563x = 174,386,359.75
  5. Step 5: Solve for x
    x = 174,386,359.75/13,563
  6. Step 6: Final answer
    x = 12,857.51

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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.