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Finding the Fourth Proportional to 2,300.40, 3,172.68 and 1,368

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Solution

The fourth proportional to 2,300.40, 3,172.68 and 1,368 is: 1,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.40 : 3,172.68 = 1,368 : x
  2. Step 2: Convert to fraction form
    2,300.40/3,172.68 = 1,368/x
  3. Step 3: Cross multiply
    2,300.40x = 3,172.68 × 1,368
  4. Step 4: Simplify right side
    2,300.40x = 4,340,226.24
  5. Step 5: Solve for x
    x = 4,340,226.24/2,300.40
  6. Step 6: Final answer
    x = 1,886.73

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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.