Home / 1,388.16-2,081.28-802.32

Finding the Fourth Proportional to 1,388.16, 2,081.28 and 802.32

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Solution

The fourth proportional to 1,388.16, 2,081.28 and 802.32 is: 1,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.16 : 2,081.28 = 802.32 : x
  2. Step 2: Convert to fraction form
    1,388.16/2,081.28 = 802.32/x
  3. Step 3: Cross multiply
    1,388.16x = 2,081.28 × 802.32
  4. Step 4: Simplify right side
    1,388.16x = 1,669,852.57
  5. Step 5: Solve for x
    x = 1,669,852.57/1,388.16
  6. Step 6: Final answer
    x = 1,202.93

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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.