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Finding the Fourth Proportional to 2,859.16, 4,289.40 and 884.71

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Solution

The fourth proportional to 2,859.16, 4,289.40 and 884.71 is: 1,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.16 : 4,289.40 = 884.71 : x
  2. Step 2: Convert to fraction form
    2,859.16/4,289.40 = 884.71/x
  3. Step 3: Cross multiply
    2,859.16x = 4,289.40 × 884.71
  4. Step 4: Simplify right side
    2,859.16x = 3,794,875.07
  5. Step 5: Solve for x
    x = 3,794,875.07/2,859.16
  6. Step 6: Final answer
    x = 1,327.27

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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.