Home / 1,465.17-2,021.92-802.02

Finding the Fourth Proportional to 1,465.17, 2,021.92 and 802.02

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Solution

The fourth proportional to 1,465.17, 2,021.92 and 802.02 is: 1,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.17 : 2,021.92 = 802.02 : x
  2. Step 2: Convert to fraction form
    1,465.17/2,021.92 = 802.02/x
  3. Step 3: Cross multiply
    1,465.17x = 2,021.92 × 802.02
  4. Step 4: Simplify right side
    1,465.17x = 1,621,620.28
  5. Step 5: Solve for x
    x = 1,621,620.28/1,465.17
  6. Step 6: Final answer
    x = 1,106.78

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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.