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Finding the Fourth Proportional to 7,714.51, 11,590.80 and 4,942.39

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Solution

The fourth proportional to 7,714.51, 11,590.80 and 4,942.39 is: 7,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.51 : 11,590.80 = 4,942.39 : x
  2. Step 2: Convert to fraction form
    7,714.51/11,590.80 = 4,942.39/x
  3. Step 3: Cross multiply
    7,714.51x = 11,590.80 × 4,942.39
  4. Step 4: Simplify right side
    7,714.51x = 57,286,254.01
  5. Step 5: Solve for x
    x = 57,286,254.01/7,714.51
  6. Step 6: Final answer
    x = 7,425.78

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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.