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Finding the Fourth Proportional to 9,638.85, 13,308.48 and 7,619.25

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Solution

The fourth proportional to 9,638.85, 13,308.48 and 7,619.25 is: 10,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.85 : 13,308.48 = 7,619.25 : x
  2. Step 2: Convert to fraction form
    9,638.85/13,308.48 = 7,619.25/x
  3. Step 3: Cross multiply
    9,638.85x = 13,308.48 × 7,619.25
  4. Step 4: Simplify right side
    9,638.85x = 101,400,636.24
  5. Step 5: Solve for x
    x = 101,400,636.24/9,638.85
  6. Step 6: Final answer
    x = 10,519.99

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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.