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Finding the Fourth Proportional to 18,527, 25,567.50 and 10,143.32

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Solution

The fourth proportional to 18,527, 25,567.50 and 10,143.32 is: 13,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,527 : 25,567.50 = 10,143.32 : x
  2. Step 2: Convert to fraction form
    18,527/25,567.50 = 10,143.32/x
  3. Step 3: Cross multiply
    18,527x = 25,567.50 × 10,143.32
  4. Step 4: Simplify right side
    18,527x = 259,339,334.10
  5. Step 5: Solve for x
    x = 259,339,334.10/18,527
  6. Step 6: Final answer
    x = 13,997.91

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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.