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Finding the Fourth Proportional to 9,271, 13,911.40 and 5,057.29

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Solution

The fourth proportional to 9,271, 13,911.40 and 5,057.29 is: 7,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271 : 13,911.40 = 5,057.29 : x
  2. Step 2: Convert to fraction form
    9,271/13,911.40 = 5,057.29/x
  3. Step 3: Cross multiply
    9,271x = 13,911.40 × 5,057.29
  4. Step 4: Simplify right side
    9,271x = 70,353,984.11
  5. Step 5: Solve for x
    x = 70,353,984.11/9,271
  6. Step 6: Final answer
    x = 7,588.61

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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.