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Finding the Fourth Proportional to 11,698.82, 17,627.16 and 9,664.40

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Solution

The fourth proportional to 11,698.82, 17,627.16 and 9,664.40 is: 14,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.82 : 17,627.16 = 9,664.40 : x
  2. Step 2: Convert to fraction form
    11,698.82/17,627.16 = 9,664.40/x
  3. Step 3: Cross multiply
    11,698.82x = 17,627.16 × 9,664.40
  4. Step 4: Simplify right side
    11,698.82x = 170,355,925.10
  5. Step 5: Solve for x
    x = 170,355,925.10/11,698.82
  6. Step 6: Final answer
    x = 14,561.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.