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Finding the Fourth Proportional to 2,158.04, 2,972.09 and 2,004.95

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Solution

The fourth proportional to 2,158.04, 2,972.09 and 2,004.95 is: 2,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.04 : 2,972.09 = 2,004.95 : x
  2. Step 2: Convert to fraction form
    2,158.04/2,972.09 = 2,004.95/x
  3. Step 3: Cross multiply
    2,158.04x = 2,972.09 × 2,004.95
  4. Step 4: Simplify right side
    2,158.04x = 5,958,904.29
  5. Step 5: Solve for x
    x = 5,958,904.29/2,158.04
  6. Step 6: Final answer
    x = 2,761.25

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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.