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Finding the Fourth Proportional to 1,875.30, 2,806.20 and 1,389.30

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Solution

The fourth proportional to 1,875.30, 2,806.20 and 1,389.30 is: 2,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.30 : 2,806.20 = 1,389.30 : x
  2. Step 2: Convert to fraction form
    1,875.30/2,806.20 = 1,389.30/x
  3. Step 3: Cross multiply
    1,875.30x = 2,806.20 × 1,389.30
  4. Step 4: Simplify right side
    1,875.30x = 3,898,653.66
  5. Step 5: Solve for x
    x = 3,898,653.66/1,875.30
  6. Step 6: Final answer
    x = 2,078.95

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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.