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Finding the Fourth Proportional to 6,719, 10,077.40 and 4,765.28

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Solution

The fourth proportional to 6,719, 10,077.40 and 4,765.28 is: 7,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719 : 10,077.40 = 4,765.28 : x
  2. Step 2: Convert to fraction form
    6,719/10,077.40 = 4,765.28/x
  3. Step 3: Cross multiply
    6,719x = 10,077.40 × 4,765.28
  4. Step 4: Simplify right side
    6,719x = 48,021,632.67
  5. Step 5: Solve for x
    x = 48,021,632.67/6,719
  6. Step 6: Final answer
    x = 7,147.14

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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.