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Finding the Fourth Proportional to 1,869.51, 2,580.02 and 1,083.57

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Solution

The fourth proportional to 1,869.51, 2,580.02 and 1,083.57 is: 1,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.51 : 2,580.02 = 1,083.57 : x
  2. Step 2: Convert to fraction form
    1,869.51/2,580.02 = 1,083.57/x
  3. Step 3: Cross multiply
    1,869.51x = 2,580.02 × 1,083.57
  4. Step 4: Simplify right side
    1,869.51x = 2,795,626.85
  5. Step 5: Solve for x
    x = 2,795,626.85/1,869.51
  6. Step 6: Final answer
    x = 1,495.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.