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Finding the Fourth Proportional to 2,580, 3,560.40 and 1,649.76

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Solution

The fourth proportional to 2,580, 3,560.40 and 1,649.76 is: 2,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580 : 3,560.40 = 1,649.76 : x
  2. Step 2: Convert to fraction form
    2,580/3,560.40 = 1,649.76/x
  3. Step 3: Cross multiply
    2,580x = 3,560.40 × 1,649.76
  4. Step 4: Simplify right side
    2,580x = 5,873,805.50
  5. Step 5: Solve for x
    x = 5,873,805.50/2,580
  6. Step 6: Final answer
    x = 2,276.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.