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Finding the Fourth Proportional to 2,541.60, 3,810.60 and 1,155.60

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Solution

The fourth proportional to 2,541.60, 3,810.60 and 1,155.60 is: 1,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.60 : 3,810.60 = 1,155.60 : x
  2. Step 2: Convert to fraction form
    2,541.60/3,810.60 = 1,155.60/x
  3. Step 3: Cross multiply
    2,541.60x = 3,810.60 × 1,155.60
  4. Step 4: Simplify right side
    2,541.60x = 4,403,529.36
  5. Step 5: Solve for x
    x = 4,403,529.36/2,541.60
  6. Step 6: Final answer
    x = 1,732.58

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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.