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Finding the Fourth Proportional to 5,213.73, 7,823.64 and 1,929.12

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Solution

The fourth proportional to 5,213.73, 7,823.64 and 1,929.12 is: 2,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.73 : 7,823.64 = 1,929.12 : x
  2. Step 2: Convert to fraction form
    5,213.73/7,823.64 = 1,929.12/x
  3. Step 3: Cross multiply
    5,213.73x = 7,823.64 × 1,929.12
  4. Step 4: Simplify right side
    5,213.73x = 15,092,740.40
  5. Step 5: Solve for x
    x = 15,092,740.40/5,213.73
  6. Step 6: Final answer
    x = 2,894.81

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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.