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Finding the Fourth Proportional to 11,651, 17,459.46 and 7,255.08

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Solution

The fourth proportional to 11,651, 17,459.46 and 7,255.08 is: 10,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651 : 17,459.46 = 7,255.08 : x
  2. Step 2: Convert to fraction form
    11,651/17,459.46 = 7,255.08/x
  3. Step 3: Cross multiply
    11,651x = 17,459.46 × 7,255.08
  4. Step 4: Simplify right side
    11,651x = 126,669,779.06
  5. Step 5: Solve for x
    x = 126,669,779.06/11,651
  6. Step 6: Final answer
    x = 10,872.01

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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.