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Finding the Fourth Proportional to 2,157.69, 2,976.30 and 1,411.68

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Solution

The fourth proportional to 2,157.69, 2,976.30 and 1,411.68 is: 1,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.69 : 2,976.30 = 1,411.68 : x
  2. Step 2: Convert to fraction form
    2,157.69/2,976.30 = 1,411.68/x
  3. Step 3: Cross multiply
    2,157.69x = 2,976.30 × 1,411.68
  4. Step 4: Simplify right side
    2,157.69x = 4,201,583.18
  5. Step 5: Solve for x
    x = 4,201,583.18/2,157.69
  6. Step 6: Final answer
    x = 1,947.26

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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.