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Finding the Fourth Proportional to 7,719.78, 10,674 and 7,365

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Solution

The fourth proportional to 7,719.78, 10,674 and 7,365 is: 10,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.78 : 10,674 = 7,365 : x
  2. Step 2: Convert to fraction form
    7,719.78/10,674 = 7,365/x
  3. Step 3: Cross multiply
    7,719.78x = 10,674 × 7,365
  4. Step 4: Simplify right side
    7,719.78x = 78,614,010
  5. Step 5: Solve for x
    x = 78,614,010/7,719.78
  6. Step 6: Final answer
    x = 10,183.45

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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.