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Finding the Fourth Proportional to 7,014, 9,679.53 and 3,870.39

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Solution

The fourth proportional to 7,014, 9,679.53 and 3,870.39 is: 5,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 9,679.53 = 3,870.39 : x
  2. Step 2: Convert to fraction form
    7,014/9,679.53 = 3,870.39/x
  3. Step 3: Cross multiply
    7,014x = 9,679.53 × 3,870.39
  4. Step 4: Simplify right side
    7,014x = 37,463,556.12
  5. Step 5: Solve for x
    x = 37,463,556.12/7,014
  6. Step 6: Final answer
    x = 5,341.25

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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.