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Finding the Fourth Proportional to 1,820, 2,511.64 and 1,033.76

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Solution

The fourth proportional to 1,820, 2,511.64 and 1,033.76 is: 1,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820 : 2,511.64 = 1,033.76 : x
  2. Step 2: Convert to fraction form
    1,820/2,511.64 = 1,033.76/x
  3. Step 3: Cross multiply
    1,820x = 2,511.64 × 1,033.76
  4. Step 4: Simplify right side
    1,820x = 2,596,432.97
  5. Step 5: Solve for x
    x = 2,596,432.97/1,820
  6. Step 6: Final answer
    x = 1,426.61

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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.