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Finding the Fourth Proportional to 7,141.68, 9,858.20 and 6,394.32

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Solution

The fourth proportional to 7,141.68, 9,858.20 and 6,394.32 is: 8,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.68 : 9,858.20 = 6,394.32 : x
  2. Step 2: Convert to fraction form
    7,141.68/9,858.20 = 6,394.32/x
  3. Step 3: Cross multiply
    7,141.68x = 9,858.20 × 6,394.32
  4. Step 4: Simplify right side
    7,141.68x = 63,036,485.42
  5. Step 5: Solve for x
    x = 63,036,485.42/7,141.68
  6. Step 6: Final answer
    x = 8,826.56

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1.5x scale

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.