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Finding the Fourth Proportional to 9,871.94, 13,628 and 5,839.45

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Solution

The fourth proportional to 9,871.94, 13,628 and 5,839.45 is: 8,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.94 : 13,628 = 5,839.45 : x
  2. Step 2: Convert to fraction form
    9,871.94/13,628 = 5,839.45/x
  3. Step 3: Cross multiply
    9,871.94x = 13,628 × 5,839.45
  4. Step 4: Simplify right side
    9,871.94x = 79,580,024.60
  5. Step 5: Solve for x
    x = 79,580,024.60/9,871.94
  6. Step 6: Final answer
    x = 8,061.23

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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.