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Finding the Fourth Proportional to 2,083, 2,875.80 and 1,384.80

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Solution

The fourth proportional to 2,083, 2,875.80 and 1,384.80 is: 1,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083 : 2,875.80 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    2,083/2,875.80 = 1,384.80/x
  3. Step 3: Cross multiply
    2,083x = 2,875.80 × 1,384.80
  4. Step 4: Simplify right side
    2,083x = 3,982,407.84
  5. Step 5: Solve for x
    x = 3,982,407.84/2,083
  6. Step 6: Final answer
    x = 1,911.86

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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.