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Finding the Fourth Proportional to 7,421.88, 10,243.08 and 4,278

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Solution

The fourth proportional to 7,421.88, 10,243.08 and 4,278 is: 5,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.88 : 10,243.08 = 4,278 : x
  2. Step 2: Convert to fraction form
    7,421.88/10,243.08 = 4,278/x
  3. Step 3: Cross multiply
    7,421.88x = 10,243.08 × 4,278
  4. Step 4: Simplify right side
    7,421.88x = 43,819,896.24
  5. Step 5: Solve for x
    x = 43,819,896.24/7,421.88
  6. Step 6: Final answer
    x = 5,904.15

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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.