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Finding the Fourth Proportional to 8,492.65, 12,738.99 and 2,946

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Solution

The fourth proportional to 8,492.65, 12,738.99 and 2,946 is: 4,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.65 : 12,738.99 = 2,946 : x
  2. Step 2: Convert to fraction form
    8,492.65/12,738.99 = 2,946/x
  3. Step 3: Cross multiply
    8,492.65x = 12,738.99 × 2,946
  4. Step 4: Simplify right side
    8,492.65x = 37,529,064.54
  5. Step 5: Solve for x
    x = 37,529,064.54/8,492.65
  6. Step 6: Final answer
    x = 4,419.01

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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.