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Finding the Fourth Proportional to 2,884.85, 3,978.47 and 1,889.76

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Solution

The fourth proportional to 2,884.85, 3,978.47 and 1,889.76 is: 2,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.85 : 3,978.47 = 1,889.76 : x
  2. Step 2: Convert to fraction form
    2,884.85/3,978.47 = 1,889.76/x
  3. Step 3: Cross multiply
    2,884.85x = 3,978.47 × 1,889.76
  4. Step 4: Simplify right side
    2,884.85x = 7,518,358.19
  5. Step 5: Solve for x
    x = 7,518,358.19/2,884.85
  6. Step 6: Final answer
    x = 2,606.16

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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.