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Finding the Fourth Proportional to 2,857.60, 4,289.60 and 1,558.40

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Solution

The fourth proportional to 2,857.60, 4,289.60 and 1,558.40 is: 2,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.60 : 4,289.60 = 1,558.40 : x
  2. Step 2: Convert to fraction form
    2,857.60/4,289.60 = 1,558.40/x
  3. Step 3: Cross multiply
    2,857.60x = 4,289.60 × 1,558.40
  4. Step 4: Simplify right side
    2,857.60x = 6,684,912.64
  5. Step 5: Solve for x
    x = 6,684,912.64/2,857.60
  6. Step 6: Final answer
    x = 2,339.35

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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.