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Finding the Fourth Proportional to 1,583.81, 2,376.17 and 1,386.98

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Solution

The fourth proportional to 1,583.81, 2,376.17 and 1,386.98 is: 2,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.81 : 2,376.17 = 1,386.98 : x
  2. Step 2: Convert to fraction form
    1,583.81/2,376.17 = 1,386.98/x
  3. Step 3: Cross multiply
    1,583.81x = 2,376.17 × 1,386.98
  4. Step 4: Simplify right side
    1,583.81x = 3,295,693.33
  5. Step 5: Solve for x
    x = 3,295,693.33/1,583.81
  6. Step 6: Final answer
    x = 2,080.86

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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.