Home / 2,035.30-3,052.35-802.30

Finding the Fourth Proportional to 2,035.30, 3,052.35 and 802.30

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Solution

The fourth proportional to 2,035.30, 3,052.35 and 802.30 is: 1,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.30 : 3,052.35 = 802.30 : x
  2. Step 2: Convert to fraction form
    2,035.30/3,052.35 = 802.30/x
  3. Step 3: Cross multiply
    2,035.30x = 3,052.35 × 802.30
  4. Step 4: Simplify right side
    2,035.30x = 2,448,900.41
  5. Step 5: Solve for x
    x = 2,448,900.41/2,035.30
  6. Step 6: Final answer
    x = 1,203.21

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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.