Home / 1,465.28-2,022.10-802.12

Finding the Fourth Proportional to 1,465.28, 2,022.10 and 802.12

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Solution

The fourth proportional to 1,465.28, 2,022.10 and 802.12 is: 1,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.28 : 2,022.10 = 802.12 : x
  2. Step 2: Convert to fraction form
    1,465.28/2,022.10 = 802.12/x
  3. Step 3: Cross multiply
    1,465.28x = 2,022.10 × 802.12
  4. Step 4: Simplify right side
    1,465.28x = 1,621,958.44
  5. Step 5: Solve for x
    x = 1,621,958.44/1,465.28
  6. Step 6: Final answer
    x = 1,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.