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Finding the Fourth Proportional to 21,787.67, 32,678.42 and 6,994.67

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Solution

The fourth proportional to 21,787.67, 32,678.42 and 6,994.67 is: 10,491.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.67 : 32,678.42 = 6,994.67 : x
  2. Step 2: Convert to fraction form
    21,787.67/32,678.42 = 6,994.67/x
  3. Step 3: Cross multiply
    21,787.67x = 32,678.42 × 6,994.67
  4. Step 4: Simplify right side
    21,787.67x = 228,574,729.05
  5. Step 5: Solve for x
    x = 228,574,729.05/21,787.67
  6. Step 6: Final answer
    x = 10,491.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.