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Finding the Fourth Proportional to 7,843.12, 10,818.74 and 4,654.31

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Solution

The fourth proportional to 7,843.12, 10,818.74 and 4,654.31 is: 6,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.12 : 10,818.74 = 4,654.31 : x
  2. Step 2: Convert to fraction form
    7,843.12/10,818.74 = 4,654.31/x
  3. Step 3: Cross multiply
    7,843.12x = 10,818.74 × 4,654.31
  4. Step 4: Simplify right side
    7,843.12x = 50,353,769.77
  5. Step 5: Solve for x
    x = 50,353,769.77/7,843.12
  6. Step 6: Final answer
    x = 6,420.12

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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.