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Finding the Fourth Proportional to 6,992.70, 9,653.13 and 4,977.42

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Solution

The fourth proportional to 6,992.70, 9,653.13 and 4,977.42 is: 6,871.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.70 : 9,653.13 = 4,977.42 : x
  2. Step 2: Convert to fraction form
    6,992.70/9,653.13 = 4,977.42/x
  3. Step 3: Cross multiply
    6,992.70x = 9,653.13 × 4,977.42
  4. Step 4: Simplify right side
    6,992.70x = 48,047,682.32
  5. Step 5: Solve for x
    x = 48,047,682.32/6,992.70
  6. Step 6: Final answer
    x = 6,871.12

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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.