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Finding the Fourth Proportional to 9,989.84, 13,787.25 and 6,013.10

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Solution

The fourth proportional to 9,989.84, 13,787.25 and 6,013.10 is: 8,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.84 : 13,787.25 = 6,013.10 : x
  2. Step 2: Convert to fraction form
    9,989.84/13,787.25 = 6,013.10/x
  3. Step 3: Cross multiply
    9,989.84x = 13,787.25 × 6,013.10
  4. Step 4: Simplify right side
    9,989.84x = 82,904,112.98
  5. Step 5: Solve for x
    x = 82,904,112.98/9,989.84
  6. Step 6: Final answer
    x = 8,298.84

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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.