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Finding the Fourth Proportional to 3,285.78, 4,927.86 and 977.28

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Solution

The fourth proportional to 3,285.78, 4,927.86 and 977.28 is: 1,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.78 : 4,927.86 = 977.28 : x
  2. Step 2: Convert to fraction form
    3,285.78/4,927.86 = 977.28/x
  3. Step 3: Cross multiply
    3,285.78x = 4,927.86 × 977.28
  4. Step 4: Simplify right side
    3,285.78x = 4,815,899.02
  5. Step 5: Solve for x
    x = 4,815,899.02/3,285.78
  6. Step 6: Final answer
    x = 1,465.68

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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.