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Finding the Fourth Proportional to 7,840.32, 11,743.99 and 6,364.50

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Solution

The fourth proportional to 7,840.32, 11,743.99 and 6,364.50 is: 9,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.32 : 11,743.99 = 6,364.50 : x
  2. Step 2: Convert to fraction form
    7,840.32/11,743.99 = 6,364.50/x
  3. Step 3: Cross multiply
    7,840.32x = 11,743.99 × 6,364.50
  4. Step 4: Simplify right side
    7,840.32x = 74,744,624.36
  5. Step 5: Solve for x
    x = 74,744,624.36/7,840.32
  6. Step 6: Final answer
    x = 9,533.36

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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.