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Finding the Fourth Proportional to 10,939, 15,096.64 and 6,224.80

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Solution

The fourth proportional to 10,939, 15,096.64 and 6,224.80 is: 8,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939 : 15,096.64 = 6,224.80 : x
  2. Step 2: Convert to fraction form
    10,939/15,096.64 = 6,224.80/x
  3. Step 3: Cross multiply
    10,939x = 15,096.64 × 6,224.80
  4. Step 4: Simplify right side
    10,939x = 93,973,564.67
  5. Step 5: Solve for x
    x = 93,973,564.67/10,939
  6. Step 6: Final answer
    x = 8,590.69

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1.5x scale

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.