Home / 20,782.53-31,173.80-5,200.16

Finding the Fourth Proportional to 20,782.53, 31,173.80 and 5,200.16

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Solution

The fourth proportional to 20,782.53, 31,173.80 and 5,200.16 is: 7,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.53 : 31,173.80 = 5,200.16 : x
  2. Step 2: Convert to fraction form
    20,782.53/31,173.80 = 5,200.16/x
  3. Step 3: Cross multiply
    20,782.53x = 31,173.80 × 5,200.16
  4. Step 4: Simplify right side
    20,782.53x = 162,108,565.94
  5. Step 5: Solve for x
    x = 162,108,565.94/20,782.53
  6. Step 6: Final answer
    x = 7,800.23

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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.