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Finding the Fourth Proportional to 2,824.72, 3,898.04 and 1,565.32

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Solution

The fourth proportional to 2,824.72, 3,898.04 and 1,565.32 is: 2,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.72 : 3,898.04 = 1,565.32 : x
  2. Step 2: Convert to fraction form
    2,824.72/3,898.04 = 1,565.32/x
  3. Step 3: Cross multiply
    2,824.72x = 3,898.04 × 1,565.32
  4. Step 4: Simplify right side
    2,824.72x = 6,101,679.97
  5. Step 5: Solve for x
    x = 6,101,679.97/2,824.72
  6. Step 6: Final answer
    x = 2,160.10

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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.