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Finding the Fourth Proportional to 2,388.84, 3,583.24 and 1,907.70

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Solution

The fourth proportional to 2,388.84, 3,583.24 and 1,907.70 is: 2,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.84 : 3,583.24 = 1,907.70 : x
  2. Step 2: Convert to fraction form
    2,388.84/3,583.24 = 1,907.70/x
  3. Step 3: Cross multiply
    2,388.84x = 3,583.24 × 1,907.70
  4. Step 4: Simplify right side
    2,388.84x = 6,835,746.95
  5. Step 5: Solve for x
    x = 6,835,746.95/2,388.84
  6. Step 6: Final answer
    x = 2,861.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.