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Finding the Fourth Proportional to 2,866.89, 4,300.20 and 1,134.30

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Solution

The fourth proportional to 2,866.89, 4,300.20 and 1,134.30 is: 1,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.89 : 4,300.20 = 1,134.30 : x
  2. Step 2: Convert to fraction form
    2,866.89/4,300.20 = 1,134.30/x
  3. Step 3: Cross multiply
    2,866.89x = 4,300.20 × 1,134.30
  4. Step 4: Simplify right side
    2,866.89x = 4,877,716.86
  5. Step 5: Solve for x
    x = 4,877,716.86/2,866.89
  6. Step 6: Final answer
    x = 1,701.40

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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.