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Finding the Fourth Proportional to 2,574.72, 3,859.92 and 1,925.64

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Solution

The fourth proportional to 2,574.72, 3,859.92 and 1,925.64 is: 2,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.72 : 3,859.92 = 1,925.64 : x
  2. Step 2: Convert to fraction form
    2,574.72/3,859.92 = 1,925.64/x
  3. Step 3: Cross multiply
    2,574.72x = 3,859.92 × 1,925.64
  4. Step 4: Simplify right side
    2,574.72x = 7,432,816.35
  5. Step 5: Solve for x
    x = 7,432,816.35/2,574.72
  6. Step 6: Final answer
    x = 2,886.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.