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Finding the Fourth Proportional to 9,988.70, 13,784.04 and 5,512.50

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Solution

The fourth proportional to 9,988.70, 13,784.04 and 5,512.50 is: 7,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.70 : 13,784.04 = 5,512.50 : x
  2. Step 2: Convert to fraction form
    9,988.70/13,784.04 = 5,512.50/x
  3. Step 3: Cross multiply
    9,988.70x = 13,784.04 × 5,512.50
  4. Step 4: Simplify right side
    9,988.70x = 75,984,520.50
  5. Step 5: Solve for x
    x = 75,984,520.50/9,988.70
  6. Step 6: Final answer
    x = 7,607.05

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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.