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Finding the Fourth Proportional to 1,709.74, 2,369.18 and 1,605.70

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Solution

The fourth proportional to 1,709.74, 2,369.18 and 1,605.70 is: 2,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.74 : 2,369.18 = 1,605.70 : x
  2. Step 2: Convert to fraction form
    1,709.74/2,369.18 = 1,605.70/x
  3. Step 3: Cross multiply
    1,709.74x = 2,369.18 × 1,605.70
  4. Step 4: Simplify right side
    1,709.74x = 3,804,180.48
  5. Step 5: Solve for x
    x = 3,804,180.48/1,709.74
  6. Step 6: Final answer
    x = 2,225.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.