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Finding the Fourth Proportional to 18,281.56, 25,228.44 and 9,898

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Solution

The fourth proportional to 18,281.56, 25,228.44 and 9,898 is: 13,659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,281.56 : 25,228.44 = 9,898 : x
  2. Step 2: Convert to fraction form
    18,281.56/25,228.44 = 9,898/x
  3. Step 3: Cross multiply
    18,281.56x = 25,228.44 × 9,898
  4. Step 4: Simplify right side
    18,281.56x = 249,711,099.12
  5. Step 5: Solve for x
    x = 249,711,099.12/18,281.56
  6. Step 6: Final answer
    x = 13,659.18

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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.