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Finding the Fourth Proportional to 1,896.12, 2,840.52 and 1,587.50

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Solution

The fourth proportional to 1,896.12, 2,840.52 and 1,587.50 is: 2,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.12 : 2,840.52 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    1,896.12/2,840.52 = 1,587.50/x
  3. Step 3: Cross multiply
    1,896.12x = 2,840.52 × 1,587.50
  4. Step 4: Simplify right side
    1,896.12x = 4,509,325.50
  5. Step 5: Solve for x
    x = 4,509,325.50/1,896.12
  6. Step 6: Final answer
    x = 2,378.19

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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.