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Finding the Fourth Proportional to 10,812.51, 14,921.51 and 6,096.80

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Solution

The fourth proportional to 10,812.51, 14,921.51 and 6,096.80 is: 8,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.51 : 14,921.51 = 6,096.80 : x
  2. Step 2: Convert to fraction form
    10,812.51/14,921.51 = 6,096.80/x
  3. Step 3: Cross multiply
    10,812.51x = 14,921.51 × 6,096.80
  4. Step 4: Simplify right side
    10,812.51x = 90,973,468.99
  5. Step 5: Solve for x
    x = 90,973,468.99/10,812.51
  6. Step 6: Final answer
    x = 8,413.72

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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.