Home / 1,983.61-2,973.16-1,541.58

Finding the Fourth Proportional to 1,983.61, 2,973.16 and 1,541.58

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Solution

The fourth proportional to 1,983.61, 2,973.16 and 1,541.58 is: 2,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.61 : 2,973.16 = 1,541.58 : x
  2. Step 2: Convert to fraction form
    1,983.61/2,973.16 = 1,541.58/x
  3. Step 3: Cross multiply
    1,983.61x = 2,973.16 × 1,541.58
  4. Step 4: Simplify right side
    1,983.61x = 4,583,354.77
  5. Step 5: Solve for x
    x = 4,583,354.77/1,983.61
  6. Step 6: Final answer
    x = 2,310.61

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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.