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Finding the Fourth Proportional to 7,242.00, 9,998.47 and 4,977.24

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Solution

The fourth proportional to 7,242.00, 9,998.47 and 4,977.24 is: 6,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.00 : 9,998.47 = 4,977.24 : x
  2. Step 2: Convert to fraction form
    7,242.00/9,998.47 = 4,977.24/x
  3. Step 3: Cross multiply
    7,242.00x = 9,998.47 × 4,977.24
  4. Step 4: Simplify right side
    7,242.00x = 49,764,734.83
  5. Step 5: Solve for x
    x = 49,764,734.83/7,242.00
  6. Step 6: Final answer
    x = 6,871.69

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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.