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Finding the Fourth Proportional to 21,855.84, 32,775.70 and 7,812.06

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Solution

The fourth proportional to 21,855.84, 32,775.70 and 7,812.06 is: 11,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,855.84 : 32,775.70 = 7,812.06 : x
  2. Step 2: Convert to fraction form
    21,855.84/32,775.70 = 7,812.06/x
  3. Step 3: Cross multiply
    21,855.84x = 32,775.70 × 7,812.06
  4. Step 4: Simplify right side
    21,855.84x = 256,045,734.94
  5. Step 5: Solve for x
    x = 256,045,734.94/21,855.84
  6. Step 6: Final answer
    x = 11,715.21

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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.