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Finding the Fourth Proportional to 9,894.12, 13,636.80 and 8,627.28

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Solution

The fourth proportional to 9,894.12, 13,636.80 and 8,627.28 is: 11,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.12 : 13,636.80 = 8,627.28 : x
  2. Step 2: Convert to fraction form
    9,894.12/13,636.80 = 8,627.28/x
  3. Step 3: Cross multiply
    9,894.12x = 13,636.80 × 8,627.28
  4. Step 4: Simplify right side
    9,894.12x = 117,648,491.90
  5. Step 5: Solve for x
    x = 117,648,491.90/9,894.12
  6. Step 6: Final answer
    x = 11,890.75

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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.