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Finding the Fourth Proportional to 20,782.60, 31,174.02 and 6,931.56

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Solution

The fourth proportional to 20,782.60, 31,174.02 and 6,931.56 is: 10,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.60 : 31,174.02 = 6,931.56 : x
  2. Step 2: Convert to fraction form
    20,782.60/31,174.02 = 6,931.56/x
  3. Step 3: Cross multiply
    20,782.60x = 31,174.02 × 6,931.56
  4. Step 4: Simplify right side
    20,782.60x = 216,084,590.07
  5. Step 5: Solve for x
    x = 216,084,590.07/20,782.60
  6. Step 6: Final answer
    x = 10,397.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.