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Finding the Fourth Proportional to 2,157.42, 2,976.54 and 1,260.74

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Solution

The fourth proportional to 2,157.42, 2,976.54 and 1,260.74 is: 1,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.42 : 2,976.54 = 1,260.74 : x
  2. Step 2: Convert to fraction form
    2,157.42/2,976.54 = 1,260.74/x
  3. Step 3: Cross multiply
    2,157.42x = 2,976.54 × 1,260.74
  4. Step 4: Simplify right side
    2,157.42x = 3,752,643.04
  5. Step 5: Solve for x
    x = 3,752,643.04/2,157.42
  6. Step 6: Final answer
    x = 1,739.41

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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.