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Finding the Fourth Proportional to 8,697.78, 12,004.02 and 5,716.08

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Solution

The fourth proportional to 8,697.78, 12,004.02 and 5,716.08 is: 7,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.78 : 12,004.02 = 5,716.08 : x
  2. Step 2: Convert to fraction form
    8,697.78/12,004.02 = 5,716.08/x
  3. Step 3: Cross multiply
    8,697.78x = 12,004.02 × 5,716.08
  4. Step 4: Simplify right side
    8,697.78x = 68,615,938.64
  5. Step 5: Solve for x
    x = 68,615,938.64/8,697.78
  6. Step 6: Final answer
    x = 7,888.90

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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.