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Finding the Fourth Proportional to 9,751, 13,458.78 and 5,561.68

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Solution

The fourth proportional to 9,751, 13,458.78 and 5,561.68 is: 7,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751 : 13,458.78 = 5,561.68 : x
  2. Step 2: Convert to fraction form
    9,751/13,458.78 = 5,561.68/x
  3. Step 3: Cross multiply
    9,751x = 13,458.78 × 5,561.68
  4. Step 4: Simplify right side
    9,751x = 74,853,427.55
  5. Step 5: Solve for x
    x = 74,853,427.55/9,751
  6. Step 6: Final answer
    x = 7,676.49

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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.