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Finding the Fourth Proportional to 2,621.34, 3,927.93 and 977.45

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Solution

The fourth proportional to 2,621.34, 3,927.93 and 977.45 is: 1,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.34 : 3,927.93 = 977.45 : x
  2. Step 2: Convert to fraction form
    2,621.34/3,927.93 = 977.45/x
  3. Step 3: Cross multiply
    2,621.34x = 3,927.93 × 977.45
  4. Step 4: Simplify right side
    2,621.34x = 3,839,335.54
  5. Step 5: Solve for x
    x = 3,839,335.54/2,621.34
  6. Step 6: Final answer
    x = 1,464.65

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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.