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Finding the Fourth Proportional to 7,522, 10,380.36 and 4,210

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Solution

The fourth proportional to 7,522, 10,380.36 and 4,210 is: 5,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 10,380.36 = 4,210 : x
  2. Step 2: Convert to fraction form
    7,522/10,380.36 = 4,210/x
  3. Step 3: Cross multiply
    7,522x = 10,380.36 × 4,210
  4. Step 4: Simplify right side
    7,522x = 43,701,315.60
  5. Step 5: Solve for x
    x = 43,701,315.60/7,522
  6. Step 6: Final answer
    x = 5,809.80

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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.