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Finding the Fourth Proportional to 2,556.30, 3,856.13 and 2,448.30

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Solution

The fourth proportional to 2,556.30, 3,856.13 and 2,448.30 is: 3,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.30 : 3,856.13 = 2,448.30 : x
  2. Step 2: Convert to fraction form
    2,556.30/3,856.13 = 2,448.30/x
  3. Step 3: Cross multiply
    2,556.30x = 3,856.13 × 2,448.30
  4. Step 4: Simplify right side
    2,556.30x = 9,440,950.84
  5. Step 5: Solve for x
    x = 9,440,950.84/2,556.30
  6. Step 6: Final answer
    x = 3,693.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.