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Finding the Fourth Proportional to 9,986.99, 13,840.31 and 9,846.05

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Solution

The fourth proportional to 9,986.99, 13,840.31 and 9,846.05 is: 13,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.99 : 13,840.31 = 9,846.05 : x
  2. Step 2: Convert to fraction form
    9,986.99/13,840.31 = 9,846.05/x
  3. Step 3: Cross multiply
    9,986.99x = 13,840.31 × 9,846.05
  4. Step 4: Simplify right side
    9,986.99x = 136,272,265.84
  5. Step 5: Solve for x
    x = 136,272,265.84/9,986.99
  6. Step 6: Final answer
    x = 13,644.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.