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Finding the Fourth Proportional to 5,778.64, 7,977.95 and 3,792.67

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Solution

The fourth proportional to 5,778.64, 7,977.95 and 3,792.67 is: 5,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.64 : 7,977.95 = 3,792.67 : x
  2. Step 2: Convert to fraction form
    5,778.64/7,977.95 = 3,792.67/x
  3. Step 3: Cross multiply
    5,778.64x = 7,977.95 × 3,792.67
  4. Step 4: Simplify right side
    5,778.64x = 30,257,731.63
  5. Step 5: Solve for x
    x = 30,257,731.63/5,778.64
  6. Step 6: Final answer
    x = 5,236.13

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1.5x scale

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.