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Finding the Fourth Proportional to 2,891.89, 4,336.53 and 1,430.47

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Solution

The fourth proportional to 2,891.89, 4,336.53 and 1,430.47 is: 2,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.89 : 4,336.53 = 1,430.47 : x
  2. Step 2: Convert to fraction form
    2,891.89/4,336.53 = 1,430.47/x
  3. Step 3: Cross multiply
    2,891.89x = 4,336.53 × 1,430.47
  4. Step 4: Simplify right side
    2,891.89x = 6,203,276.07
  5. Step 5: Solve for x
    x = 6,203,276.07/2,891.89
  6. Step 6: Final answer
    x = 2,145.06

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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.