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Finding the Fourth Proportional to 7,778, 11,637.84 and 4,842.56

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Solution

The fourth proportional to 7,778, 11,637.84 and 4,842.56 is: 7,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 11,637.84 = 4,842.56 : x
  2. Step 2: Convert to fraction form
    7,778/11,637.84 = 4,842.56/x
  3. Step 3: Cross multiply
    7,778x = 11,637.84 × 4,842.56
  4. Step 4: Simplify right side
    7,778x = 56,356,938.47
  5. Step 5: Solve for x
    x = 56,356,938.47/7,778
  6. Step 6: Final answer
    x = 7,245.69

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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.