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Finding the Fourth Proportional to 6,990.66, 10,533.76 and 5,784.54

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Solution

The fourth proportional to 6,990.66, 10,533.76 and 5,784.54 is: 8,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.66 : 10,533.76 = 5,784.54 : x
  2. Step 2: Convert to fraction form
    6,990.66/10,533.76 = 5,784.54/x
  3. Step 3: Cross multiply
    6,990.66x = 10,533.76 × 5,784.54
  4. Step 4: Simplify right side
    6,990.66x = 60,932,956.07
  5. Step 5: Solve for x
    x = 60,932,956.07/6,990.66
  6. Step 6: Final answer
    x = 8,716.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.