Home / 2,557.77-3,836.35-802.70

Finding the Fourth Proportional to 2,557.77, 3,836.35 and 802.70

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Solution

The fourth proportional to 2,557.77, 3,836.35 and 802.70 is: 1,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.77 : 3,836.35 = 802.70 : x
  2. Step 2: Convert to fraction form
    2,557.77/3,836.35 = 802.70/x
  3. Step 3: Cross multiply
    2,557.77x = 3,836.35 × 802.70
  4. Step 4: Simplify right side
    2,557.77x = 3,079,438.15
  5. Step 5: Solve for x
    x = 3,079,438.15/2,557.77
  6. Step 6: Final answer
    x = 1,203.95

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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.