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Finding the Fourth Proportional to 7,848.60, 10,844.10 and 6,347.77

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Solution

The fourth proportional to 7,848.60, 10,844.10 and 6,347.77 is: 8,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.60 : 10,844.10 = 6,347.77 : x
  2. Step 2: Convert to fraction form
    7,848.60/10,844.10 = 6,347.77/x
  3. Step 3: Cross multiply
    7,848.60x = 10,844.10 × 6,347.77
  4. Step 4: Simplify right side
    7,848.60x = 68,835,843.40
  5. Step 5: Solve for x
    x = 68,835,843.40/7,848.60
  6. Step 6: Final answer
    x = 8,770.47

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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.