Home / 2,557.09-3,835.50-802.08

Finding the Fourth Proportional to 2,557.09, 3,835.50 and 802.08

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Solution

The fourth proportional to 2,557.09, 3,835.50 and 802.08 is: 1,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.09 : 3,835.50 = 802.08 : x
  2. Step 2: Convert to fraction form
    2,557.09/3,835.50 = 802.08/x
  3. Step 3: Cross multiply
    2,557.09x = 3,835.50 × 802.08
  4. Step 4: Simplify right side
    2,557.09x = 3,076,377.84
  5. Step 5: Solve for x
    x = 3,076,377.84/2,557.09
  6. Step 6: Final answer
    x = 1,203.08

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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.