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Finding the Fourth Proportional to 1,225.50, 1,827.44 and 1,136.22

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Solution

The fourth proportional to 1,225.50, 1,827.44 and 1,136.22 is: 1,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.50 : 1,827.44 = 1,136.22 : x
  2. Step 2: Convert to fraction form
    1,225.50/1,827.44 = 1,136.22/x
  3. Step 3: Cross multiply
    1,225.50x = 1,827.44 × 1,136.22
  4. Step 4: Simplify right side
    1,225.50x = 2,076,368.20
  5. Step 5: Solve for x
    x = 2,076,368.20/1,225.50
  6. Step 6: Final answer
    x = 1,694.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.