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Finding the Fourth Proportional to 8,522, 11,760.36 and 5,210

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Solution

The fourth proportional to 8,522, 11,760.36 and 5,210 is: 7,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522 : 11,760.36 = 5,210 : x
  2. Step 2: Convert to fraction form
    8,522/11,760.36 = 5,210/x
  3. Step 3: Cross multiply
    8,522x = 11,760.36 × 5,210
  4. Step 4: Simplify right side
    8,522x = 61,271,475.60
  5. Step 5: Solve for x
    x = 61,271,475.60/8,522
  6. Step 6: Final answer
    x = 7,189.80

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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.