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Finding the Fourth Proportional to 5,307.86, 7,961.57 and 1,412.27

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Solution

The fourth proportional to 5,307.86, 7,961.57 and 1,412.27 is: 2,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.86 : 7,961.57 = 1,412.27 : x
  2. Step 2: Convert to fraction form
    5,307.86/7,961.57 = 1,412.27/x
  3. Step 3: Cross multiply
    5,307.86x = 7,961.57 × 1,412.27
  4. Step 4: Simplify right side
    5,307.86x = 11,243,839.59
  5. Step 5: Solve for x
    x = 11,243,839.59/5,307.86
  6. Step 6: Final answer
    x = 2,118.34

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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.