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Finding the Fourth Proportional to 3,720.25, 5,133.95 and 2,064.25

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Solution

The fourth proportional to 3,720.25, 5,133.95 and 2,064.25 is: 2,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.25 : 5,133.95 = 2,064.25 : x
  2. Step 2: Convert to fraction form
    3,720.25/5,133.95 = 2,064.25/x
  3. Step 3: Cross multiply
    3,720.25x = 5,133.95 × 2,064.25
  4. Step 4: Simplify right side
    3,720.25x = 10,597,756.29
  5. Step 5: Solve for x
    x = 10,597,756.29/3,720.25
  6. Step 6: Final answer
    x = 2,848.67

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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.