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Finding the Fourth Proportional to 18,871.56, 28,313.52 and 9,507.14

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Solution

The fourth proportional to 18,871.56, 28,313.52 and 9,507.14 is: 14,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871.56 : 28,313.52 = 9,507.14 : x
  2. Step 2: Convert to fraction form
    18,871.56/28,313.52 = 9,507.14/x
  3. Step 3: Cross multiply
    18,871.56x = 28,313.52 × 9,507.14
  4. Step 4: Simplify right side
    18,871.56x = 269,180,598.53
  5. Step 5: Solve for x
    x = 269,180,598.53/18,871.56
  6. Step 6: Final answer
    x = 14,263.82

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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.