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Finding the Fourth Proportional to 8,365.98, 11,540.94 and 7,039.20

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Solution

The fourth proportional to 8,365.98, 11,540.94 and 7,039.20 is: 9,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.98 : 11,540.94 = 7,039.20 : x
  2. Step 2: Convert to fraction form
    8,365.98/11,540.94 = 7,039.20/x
  3. Step 3: Cross multiply
    8,365.98x = 11,540.94 × 7,039.20
  4. Step 4: Simplify right side
    8,365.98x = 81,238,984.85
  5. Step 5: Solve for x
    x = 81,238,984.85/8,365.98
  6. Step 6: Final answer
    x = 9,710.64

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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.