Home / 2,856.48-3,942-1,677.84

Finding the Fourth Proportional to 2,856.48, 3,942 and 1,677.84

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Solution

The fourth proportional to 2,856.48, 3,942 and 1,677.84 is: 2,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.48 : 3,942 = 1,677.84 : x
  2. Step 2: Convert to fraction form
    2,856.48/3,942 = 1,677.84/x
  3. Step 3: Cross multiply
    2,856.48x = 3,942 × 1,677.84
  4. Step 4: Simplify right side
    2,856.48x = 6,614,045.28
  5. Step 5: Solve for x
    x = 6,614,045.28/2,856.48
  6. Step 6: Final answer
    x = 2,315.45

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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.