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Finding the Fourth Proportional to 7,164.78, 10,688.99 and 6,777.26

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Solution

The fourth proportional to 7,164.78, 10,688.99 and 6,777.26 is: 10,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.78 : 10,688.99 = 6,777.26 : x
  2. Step 2: Convert to fraction form
    7,164.78/10,688.99 = 6,777.26/x
  3. Step 3: Cross multiply
    7,164.78x = 10,688.99 × 6,777.26
  4. Step 4: Simplify right side
    7,164.78x = 72,441,977.04
  5. Step 5: Solve for x
    x = 72,441,977.04/7,164.78
  6. Step 6: Final answer
    x = 10,110.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.