Home / 2,565.90-3,847.86-921.96

Finding the Fourth Proportional to 2,565.90, 3,847.86 and 921.96

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Solution

The fourth proportional to 2,565.90, 3,847.86 and 921.96 is: 1,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.90 : 3,847.86 = 921.96 : x
  2. Step 2: Convert to fraction form
    2,565.90/3,847.86 = 921.96/x
  3. Step 3: Cross multiply
    2,565.90x = 3,847.86 × 921.96
  4. Step 4: Simplify right side
    2,565.90x = 3,547,573.01
  5. Step 5: Solve for x
    x = 3,547,573.01/2,565.90
  6. Step 6: Final answer
    x = 1,382.58

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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.