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Finding the Fourth Proportional to 9,988.50, 13,783.50 and 5,512.30

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Solution

The fourth proportional to 9,988.50, 13,783.50 and 5,512.30 is: 7,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.50 : 13,783.50 = 5,512.30 : x
  2. Step 2: Convert to fraction form
    9,988.50/13,783.50 = 5,512.30/x
  3. Step 3: Cross multiply
    9,988.50x = 13,783.50 × 5,512.30
  4. Step 4: Simplify right side
    9,988.50x = 75,978,787.05
  5. Step 5: Solve for x
    x = 75,978,787.05/9,988.50
  6. Step 6: Final answer
    x = 7,606.63

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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.