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Finding the Fourth Proportional to 9,771.38, 13,484.50 and 5,579.63

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Solution

The fourth proportional to 9,771.38, 13,484.50 and 5,579.63 is: 7,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.38 : 13,484.50 = 5,579.63 : x
  2. Step 2: Convert to fraction form
    9,771.38/13,484.50 = 5,579.63/x
  3. Step 3: Cross multiply
    9,771.38x = 13,484.50 × 5,579.63
  4. Step 4: Simplify right side
    9,771.38x = 75,238,439.36
  5. Step 5: Solve for x
    x = 75,238,439.36/9,771.38
  6. Step 6: Final answer
    x = 7,699.88

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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.