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Finding the Fourth Proportional to 9,751, 13,456.40 and 5,274.78

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Solution

The fourth proportional to 9,751, 13,456.40 and 5,274.78 is: 7,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751 : 13,456.40 = 5,274.78 : x
  2. Step 2: Convert to fraction form
    9,751/13,456.40 = 5,274.78/x
  3. Step 3: Cross multiply
    9,751x = 13,456.40 × 5,274.78
  4. Step 4: Simplify right side
    9,751x = 70,979,549.59
  5. Step 5: Solve for x
    x = 70,979,549.59/9,751
  6. Step 6: Final answer
    x = 7,279.21

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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.