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Finding the Fourth Proportional to 1,765.10, 2,643.60 and 1,724.60

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Solution

The fourth proportional to 1,765.10, 2,643.60 and 1,724.60 is: 2,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.10 : 2,643.60 = 1,724.60 : x
  2. Step 2: Convert to fraction form
    1,765.10/2,643.60 = 1,724.60/x
  3. Step 3: Cross multiply
    1,765.10x = 2,643.60 × 1,724.60
  4. Step 4: Simplify right side
    1,765.10x = 4,559,152.56
  5. Step 5: Solve for x
    x = 4,559,152.56/1,765.10
  6. Step 6: Final answer
    x = 2,582.94

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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.