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Finding the Fourth Proportional to 7,855.34, 10,840.37 and 4,318.78

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Solution

The fourth proportional to 7,855.34, 10,840.37 and 4,318.78 is: 5,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.34 : 10,840.37 = 4,318.78 : x
  2. Step 2: Convert to fraction form
    7,855.34/10,840.37 = 4,318.78/x
  3. Step 3: Cross multiply
    7,855.34x = 10,840.37 × 4,318.78
  4. Step 4: Simplify right side
    7,855.34x = 46,817,118.95
  5. Step 5: Solve for x
    x = 46,817,118.95/7,855.34
  6. Step 6: Final answer
    x = 5,959.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.