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Finding the Fourth Proportional to 1,281.46, 1,923.10 and 989.25

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Solution

The fourth proportional to 1,281.46, 1,923.10 and 989.25 is: 1,484.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.46 : 1,923.10 = 989.25 : x
  2. Step 2: Convert to fraction form
    1,281.46/1,923.10 = 989.25/x
  3. Step 3: Cross multiply
    1,281.46x = 1,923.10 × 989.25
  4. Step 4: Simplify right side
    1,281.46x = 1,902,421.73
  5. Step 5: Solve for x
    x = 1,902,421.73/1,281.46
  6. Step 6: Final answer
    x = 1,484.58

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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.