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Finding the Fourth Proportional to 2,977.52, 4,460.79 and 2,649.47

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Solution

The fourth proportional to 2,977.52, 4,460.79 and 2,649.47 is: 3,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.52 : 4,460.79 = 2,649.47 : x
  2. Step 2: Convert to fraction form
    2,977.52/4,460.79 = 2,649.47/x
  3. Step 3: Cross multiply
    2,977.52x = 4,460.79 × 2,649.47
  4. Step 4: Simplify right side
    2,977.52x = 11,818,706.98
  5. Step 5: Solve for x
    x = 11,818,706.98/2,977.52
  6. Step 6: Final answer
    x = 3,969.32

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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.