Home / 2,569.76-3,858.88-1,416.32

Finding the Fourth Proportional to 2,569.76, 3,858.88 and 1,416.32

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Solution

The fourth proportional to 2,569.76, 3,858.88 and 1,416.32 is: 2,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.76 : 3,858.88 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    2,569.76/3,858.88 = 1,416.32/x
  3. Step 3: Cross multiply
    2,569.76x = 3,858.88 × 1,416.32
  4. Step 4: Simplify right side
    2,569.76x = 5,465,408.92
  5. Step 5: Solve for x
    x = 5,465,408.92/2,569.76
  6. Step 6: Final answer
    x = 2,126.82

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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.