Home / 1,682.04-2,321.23-973.88

Finding the Fourth Proportional to 1,682.04, 2,321.23 and 973.88

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Solution

The fourth proportional to 1,682.04, 2,321.23 and 973.88 is: 1,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.04 : 2,321.23 = 973.88 : x
  2. Step 2: Convert to fraction form
    1,682.04/2,321.23 = 973.88/x
  3. Step 3: Cross multiply
    1,682.04x = 2,321.23 × 973.88
  4. Step 4: Simplify right side
    1,682.04x = 2,260,599.47
  5. Step 5: Solve for x
    x = 2,260,599.47/1,682.04
  6. Step 6: Final answer
    x = 1,343.96

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1.5x scale

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.