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Finding the Fourth Proportional to 9,988.75, 13,784 and 5,736.82

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Solution

The fourth proportional to 9,988.75, 13,784 and 5,736.82 is: 7,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.75 : 13,784 = 5,736.82 : x
  2. Step 2: Convert to fraction form
    9,988.75/13,784 = 5,736.82/x
  3. Step 3: Cross multiply
    9,988.75x = 13,784 × 5,736.82
  4. Step 4: Simplify right side
    9,988.75x = 79,076,326.88
  5. Step 5: Solve for x
    x = 79,076,326.88/9,988.75
  6. Step 6: Final answer
    x = 7,916.54

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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.