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Finding the Fourth Proportional to 11,396, 15,726.50 and 6,428

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Solution

The fourth proportional to 11,396, 15,726.50 and 6,428 is: 8,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396 : 15,726.50 = 6,428 : x
  2. Step 2: Convert to fraction form
    11,396/15,726.50 = 6,428/x
  3. Step 3: Cross multiply
    11,396x = 15,726.50 × 6,428
  4. Step 4: Simplify right side
    11,396x = 101,089,942
  5. Step 5: Solve for x
    x = 101,089,942/11,396
  6. Step 6: Final answer
    x = 8,870.65

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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.