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Finding the Fourth Proportional to 1,858.74, 2,775.36 and 1,584.69

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Solution

The fourth proportional to 1,858.74, 2,775.36 and 1,584.69 is: 2,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.74 : 2,775.36 = 1,584.69 : x
  2. Step 2: Convert to fraction form
    1,858.74/2,775.36 = 1,584.69/x
  3. Step 3: Cross multiply
    1,858.74x = 2,775.36 × 1,584.69
  4. Step 4: Simplify right side
    1,858.74x = 4,398,085.24
  5. Step 5: Solve for x
    x = 4,398,085.24/1,858.74
  6. Step 6: Final answer
    x = 2,366.16

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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.