Home / 1,574.04-2,172.16-865.86

Finding the Fourth Proportional to 1,574.04, 2,172.16 and 865.86

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Solution

The fourth proportional to 1,574.04, 2,172.16 and 865.86 is: 1,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.04 : 2,172.16 = 865.86 : x
  2. Step 2: Convert to fraction form
    1,574.04/2,172.16 = 865.86/x
  3. Step 3: Cross multiply
    1,574.04x = 2,172.16 × 865.86
  4. Step 4: Simplify right side
    1,574.04x = 1,880,786.46
  5. Step 5: Solve for x
    x = 1,880,786.46/1,574.04
  6. Step 6: Final answer
    x = 1,194.88

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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.