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Finding the Fourth Proportional to 2,858.60, 4,291.10 and 1,559.40

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Solution

The fourth proportional to 2,858.60, 4,291.10 and 1,559.40 is: 2,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.60 : 4,291.10 = 1,559.40 : x
  2. Step 2: Convert to fraction form
    2,858.60/4,291.10 = 1,559.40/x
  3. Step 3: Cross multiply
    2,858.60x = 4,291.10 × 1,559.40
  4. Step 4: Simplify right side
    2,858.60x = 6,691,541.34
  5. Step 5: Solve for x
    x = 6,691,541.34/2,858.60
  6. Step 6: Final answer
    x = 2,340.85

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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.