Home / 2,189.28-3,284.64-802.88

Finding the Fourth Proportional to 2,189.28, 3,284.64 and 802.88

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Solution

The fourth proportional to 2,189.28, 3,284.64 and 802.88 is: 1,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.28 : 3,284.64 = 802.88 : x
  2. Step 2: Convert to fraction form
    2,189.28/3,284.64 = 802.88/x
  3. Step 3: Cross multiply
    2,189.28x = 3,284.64 × 802.88
  4. Step 4: Simplify right side
    2,189.28x = 2,637,171.76
  5. Step 5: Solve for x
    x = 2,637,171.76/2,189.28
  6. Step 6: Final answer
    x = 1,204.58

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1.5x scale

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.