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Finding the Fourth Proportional to 1,665.49, 2,497.99 and 1,047.31

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Solution

The fourth proportional to 1,665.49, 2,497.99 and 1,047.31 is: 1,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.49 : 2,497.99 = 1,047.31 : x
  2. Step 2: Convert to fraction form
    1,665.49/2,497.99 = 1,047.31/x
  3. Step 3: Cross multiply
    1,665.49x = 2,497.99 × 1,047.31
  4. Step 4: Simplify right side
    1,665.49x = 2,616,164.67
  5. Step 5: Solve for x
    x = 2,616,164.67/1,665.49
  6. Step 6: Final answer
    x = 1,570.81

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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.