Home / 1,680.21-2,318.03-971.93

Finding the Fourth Proportional to 1,680.21, 2,318.03 and 971.93

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Solution

The fourth proportional to 1,680.21, 2,318.03 and 971.93 is: 1,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.21 : 2,318.03 = 971.93 : x
  2. Step 2: Convert to fraction form
    1,680.21/2,318.03 = 971.93/x
  3. Step 3: Cross multiply
    1,680.21x = 2,318.03 × 971.93
  4. Step 4: Simplify right side
    1,680.21x = 2,252,962.90
  5. Step 5: Solve for x
    x = 2,252,962.90/1,680.21
  6. Step 6: Final answer
    x = 1,340.88

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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.