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Finding the Fourth Proportional to 2,157.54, 2,972.58 and 1,960.98

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Solution

The fourth proportional to 2,157.54, 2,972.58 and 1,960.98 is: 2,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.54 : 2,972.58 = 1,960.98 : x
  2. Step 2: Convert to fraction form
    2,157.54/2,972.58 = 1,960.98/x
  3. Step 3: Cross multiply
    2,157.54x = 2,972.58 × 1,960.98
  4. Step 4: Simplify right side
    2,157.54x = 5,829,169.93
  5. Step 5: Solve for x
    x = 5,829,169.93/2,157.54
  6. Step 6: Final answer
    x = 2,701.77

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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.