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Finding the Fourth Proportional to 11,357.50, 15,673.36 and 6,389.50

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Solution

The fourth proportional to 11,357.50, 15,673.36 and 6,389.50 is: 8,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.50 : 15,673.36 = 6,389.50 : x
  2. Step 2: Convert to fraction form
    11,357.50/15,673.36 = 6,389.50/x
  3. Step 3: Cross multiply
    11,357.50x = 15,673.36 × 6,389.50
  4. Step 4: Simplify right side
    11,357.50x = 100,144,933.72
  5. Step 5: Solve for x
    x = 100,144,933.72/11,357.50
  6. Step 6: Final answer
    x = 8,817.52

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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.