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Finding the Fourth Proportional to 5,307.93, 7,961.90 and 1,412.73

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Solution

The fourth proportional to 5,307.93, 7,961.90 and 1,412.73 is: 2,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.93 : 7,961.90 = 1,412.73 : x
  2. Step 2: Convert to fraction form
    5,307.93/7,961.90 = 1,412.73/x
  3. Step 3: Cross multiply
    5,307.93x = 7,961.90 × 1,412.73
  4. Step 4: Simplify right side
    5,307.93x = 11,248,007.92
  5. Step 5: Solve for x
    x = 11,248,007.92/5,307.93
  6. Step 6: Final answer
    x = 2,119.10

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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.