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Finding the Fourth Proportional to 9,000.86, 13,499.74 and 4,069.34

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Solution

The fourth proportional to 9,000.86, 13,499.74 and 4,069.34 is: 6,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.86 : 13,499.74 = 4,069.34 : x
  2. Step 2: Convert to fraction form
    9,000.86/13,499.74 = 4,069.34/x
  3. Step 3: Cross multiply
    9,000.86x = 13,499.74 × 4,069.34
  4. Step 4: Simplify right side
    9,000.86x = 54,935,031.97
  5. Step 5: Solve for x
    x = 54,935,031.97/9,000.86
  6. Step 6: Final answer
    x = 6,103.31

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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.