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Finding the Fourth Proportional to 7,806.98, 11,714.32 and 3,646.39

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Solution

The fourth proportional to 7,806.98, 11,714.32 and 3,646.39 is: 5,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.98 : 11,714.32 = 3,646.39 : x
  2. Step 2: Convert to fraction form
    7,806.98/11,714.32 = 3,646.39/x
  3. Step 3: Cross multiply
    7,806.98x = 11,714.32 × 3,646.39
  4. Step 4: Simplify right side
    7,806.98x = 42,714,956.03
  5. Step 5: Solve for x
    x = 42,714,956.03/7,806.98
  6. Step 6: Final answer
    x = 5,471.38

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1.5x scale

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.