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Finding the Fourth Proportional to 2,147.28, 2,964.04 and 1,925.84

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Solution

The fourth proportional to 2,147.28, 2,964.04 and 1,925.84 is: 2,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.28 : 2,964.04 = 1,925.84 : x
  2. Step 2: Convert to fraction form
    2,147.28/2,964.04 = 1,925.84/x
  3. Step 3: Cross multiply
    2,147.28x = 2,964.04 × 1,925.84
  4. Step 4: Simplify right side
    2,147.28x = 5,708,266.79
  5. Step 5: Solve for x
    x = 5,708,266.79/2,147.28
  6. Step 6: Final answer
    x = 2,658.37

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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.