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Finding the Fourth Proportional to 2,359.71, 3,539.21 and 858.58

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Solution

The fourth proportional to 2,359.71, 3,539.21 and 858.58 is: 1,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.71 : 3,539.21 = 858.58 : x
  2. Step 2: Convert to fraction form
    2,359.71/3,539.21 = 858.58/x
  3. Step 3: Cross multiply
    2,359.71x = 3,539.21 × 858.58
  4. Step 4: Simplify right side
    2,359.71x = 3,038,694.92
  5. Step 5: Solve for x
    x = 3,038,694.92/2,359.71
  6. Step 6: Final answer
    x = 1,287.74

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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.