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Finding the Fourth Proportional to 9,988.70, 13,784.22 and 5,512.59

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Solution

The fourth proportional to 9,988.70, 13,784.22 and 5,512.59 is: 7,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.70 : 13,784.22 = 5,512.59 : x
  2. Step 2: Convert to fraction form
    9,988.70/13,784.22 = 5,512.59/x
  3. Step 3: Cross multiply
    9,988.70x = 13,784.22 × 5,512.59
  4. Step 4: Simplify right side
    9,988.70x = 75,986,753.33
  5. Step 5: Solve for x
    x = 75,986,753.33/9,988.70
  6. Step 6: Final answer
    x = 7,607.28

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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.