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Finding the Fourth Proportional to 9,989.71, 13,787.48 and 9,546.84

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Solution

The fourth proportional to 9,989.71, 13,787.48 and 9,546.84 is: 13,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.71 : 13,787.48 = 9,546.84 : x
  2. Step 2: Convert to fraction form
    9,989.71/13,787.48 = 9,546.84/x
  3. Step 3: Cross multiply
    9,989.71x = 13,787.48 × 9,546.84
  4. Step 4: Simplify right side
    9,989.71x = 131,626,817.83
  5. Step 5: Solve for x
    x = 131,626,817.83/9,989.71
  6. Step 6: Final answer
    x = 13,176.25

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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.