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Finding the Fourth Proportional to 9,000.76, 13,499.12 and 3,157.40

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Solution

The fourth proportional to 9,000.76, 13,499.12 and 3,157.40 is: 4,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.76 : 13,499.12 = 3,157.40 : x
  2. Step 2: Convert to fraction form
    9,000.76/13,499.12 = 3,157.40/x
  3. Step 3: Cross multiply
    9,000.76x = 13,499.12 × 3,157.40
  4. Step 4: Simplify right side
    9,000.76x = 42,622,121.49
  5. Step 5: Solve for x
    x = 42,622,121.49/9,000.76
  6. Step 6: Final answer
    x = 4,735.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.