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Finding the Fourth Proportional to 2,390.87, 3,586.28 and 985.28

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Solution

The fourth proportional to 2,390.87, 3,586.28 and 985.28 is: 1,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.87 : 3,586.28 = 985.28 : x
  2. Step 2: Convert to fraction form
    2,390.87/3,586.28 = 985.28/x
  3. Step 3: Cross multiply
    2,390.87x = 3,586.28 × 985.28
  4. Step 4: Simplify right side
    2,390.87x = 3,533,467.10
  5. Step 5: Solve for x
    x = 3,533,467.10/2,390.87
  6. Step 6: Final answer
    x = 1,477.90

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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.