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Finding the Fourth Proportional to 2,686.14, 3,708.14 and 1,802.57

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Solution

The fourth proportional to 2,686.14, 3,708.14 and 1,802.57 is: 2,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.14 : 3,708.14 = 1,802.57 : x
  2. Step 2: Convert to fraction form
    2,686.14/3,708.14 = 1,802.57/x
  3. Step 3: Cross multiply
    2,686.14x = 3,708.14 × 1,802.57
  4. Step 4: Simplify right side
    2,686.14x = 6,684,154.37
  5. Step 5: Solve for x
    x = 6,684,154.37/2,686.14
  6. Step 6: Final answer
    x = 2,488.39

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1.5x scale

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.