Home / 2,557.39-3,835.96-802.12

Finding the Fourth Proportional to 2,557.39, 3,835.96 and 802.12

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Solution

The fourth proportional to 2,557.39, 3,835.96 and 802.12 is: 1,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.39 : 3,835.96 = 802.12 : x
  2. Step 2: Convert to fraction form
    2,557.39/3,835.96 = 802.12/x
  3. Step 3: Cross multiply
    2,557.39x = 3,835.96 × 802.12
  4. Step 4: Simplify right side
    2,557.39x = 3,076,879.65
  5. Step 5: Solve for x
    x = 3,076,879.65/2,557.39
  6. Step 6: Final answer
    x = 1,203.14

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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.