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Finding the Fourth Proportional to 1,614, 2,416.89 and 1,127.39

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Solution

The fourth proportional to 1,614, 2,416.89 and 1,127.39 is: 1,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614 : 2,416.89 = 1,127.39 : x
  2. Step 2: Convert to fraction form
    1,614/2,416.89 = 1,127.39/x
  3. Step 3: Cross multiply
    1,614x = 2,416.89 × 1,127.39
  4. Step 4: Simplify right side
    1,614x = 2,724,777.62
  5. Step 5: Solve for x
    x = 2,724,777.62/1,614
  6. Step 6: Final answer
    x = 1,688.21

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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.