Home / 3,114.02-4,670.94-922.80

Finding the Fourth Proportional to 3,114.02, 4,670.94 and 922.80

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Solution

The fourth proportional to 3,114.02, 4,670.94 and 922.80 is: 1,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.02 : 4,670.94 = 922.80 : x
  2. Step 2: Convert to fraction form
    3,114.02/4,670.94 = 922.80/x
  3. Step 3: Cross multiply
    3,114.02x = 4,670.94 × 922.80
  4. Step 4: Simplify right side
    3,114.02x = 4,310,343.43
  5. Step 5: Solve for x
    x = 4,310,343.43/3,114.02
  6. Step 6: Final answer
    x = 1,384.17

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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.