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Finding the Fourth Proportional to 9,861.66, 13,623.48 and 8,533.05

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Solution

The fourth proportional to 9,861.66, 13,623.48 and 8,533.05 is: 11,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.66 : 13,623.48 = 8,533.05 : x
  2. Step 2: Convert to fraction form
    9,861.66/13,623.48 = 8,533.05/x
  3. Step 3: Cross multiply
    9,861.66x = 13,623.48 × 8,533.05
  4. Step 4: Simplify right side
    9,861.66x = 116,249,836.01
  5. Step 5: Solve for x
    x = 116,249,836.01/9,861.66
  6. Step 6: Final answer
    x = 11,788.06

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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.