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Finding the Fourth Proportional to 7,848.46, 10,822.71 and 5,855.86

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Solution

The fourth proportional to 7,848.46, 10,822.71 and 5,855.86 is: 8,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.46 : 10,822.71 = 5,855.86 : x
  2. Step 2: Convert to fraction form
    7,848.46/10,822.71 = 5,855.86/x
  3. Step 3: Cross multiply
    7,848.46x = 10,822.71 × 5,855.86
  4. Step 4: Simplify right side
    7,848.46x = 63,376,274.58
  5. Step 5: Solve for x
    x = 63,376,274.58/7,848.46
  6. Step 6: Final answer
    x = 8,074.99

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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.