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Finding the Fourth Proportional to 2,160.71, 2,983.21 and 1,662.47

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Solution

The fourth proportional to 2,160.71, 2,983.21 and 1,662.47 is: 2,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.71 : 2,983.21 = 1,662.47 : x
  2. Step 2: Convert to fraction form
    2,160.71/2,983.21 = 1,662.47/x
  3. Step 3: Cross multiply
    2,160.71x = 2,983.21 × 1,662.47
  4. Step 4: Simplify right side
    2,160.71x = 4,959,478.06
  5. Step 5: Solve for x
    x = 4,959,478.06/2,160.71
  6. Step 6: Final answer
    x = 2,295.31

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1.5x scale

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.