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Finding the Fourth Proportional to 2,140, 3,208.56 and 1,722.40

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Solution

The fourth proportional to 2,140, 3,208.56 and 1,722.40 is: 2,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140 : 3,208.56 = 1,722.40 : x
  2. Step 2: Convert to fraction form
    2,140/3,208.56 = 1,722.40/x
  3. Step 3: Cross multiply
    2,140x = 3,208.56 × 1,722.40
  4. Step 4: Simplify right side
    2,140x = 5,526,423.74
  5. Step 5: Solve for x
    x = 5,526,423.74/2,140
  6. Step 6: Final answer
    x = 2,582.44

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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.