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Finding the Fourth Proportional to 1,666, 2,497.72 and 895.44

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Solution

The fourth proportional to 1,666, 2,497.72 and 895.44 is: 1,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666 : 2,497.72 = 895.44 : x
  2. Step 2: Convert to fraction form
    1,666/2,497.72 = 895.44/x
  3. Step 3: Cross multiply
    1,666x = 2,497.72 × 895.44
  4. Step 4: Simplify right side
    1,666x = 2,236,558.40
  5. Step 5: Solve for x
    x = 2,236,558.40/1,666
  6. Step 6: Final answer
    x = 1,342.47

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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.