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Finding the Fourth Proportional to 2,269.74, 3,405 and 971.22

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Solution

The fourth proportional to 2,269.74, 3,405 and 971.22 is: 1,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.74 : 3,405 = 971.22 : x
  2. Step 2: Convert to fraction form
    2,269.74/3,405 = 971.22/x
  3. Step 3: Cross multiply
    2,269.74x = 3,405 × 971.22
  4. Step 4: Simplify right side
    2,269.74x = 3,307,004.10
  5. Step 5: Solve for x
    x = 3,307,004.10/2,269.74
  6. Step 6: Final answer
    x = 1,457.00

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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.