Home / 1,232.11-1,846.34-972.74

Finding the Fourth Proportional to 1,232.11, 1,846.34 and 972.74

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Solution

The fourth proportional to 1,232.11, 1,846.34 and 972.74 is: 1,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.11 : 1,846.34 = 972.74 : x
  2. Step 2: Convert to fraction form
    1,232.11/1,846.34 = 972.74/x
  3. Step 3: Cross multiply
    1,232.11x = 1,846.34 × 972.74
  4. Step 4: Simplify right side
    1,232.11x = 1,795,994.68
  5. Step 5: Solve for x
    x = 1,795,994.68/1,232.11
  6. Step 6: Final answer
    x = 1,457.66

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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.