Home / 2,305.19-3,458.51-971.69

Finding the Fourth Proportional to 2,305.19, 3,458.51 and 971.69

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Solution

The fourth proportional to 2,305.19, 3,458.51 and 971.69 is: 1,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.19 : 3,458.51 = 971.69 : x
  2. Step 2: Convert to fraction form
    2,305.19/3,458.51 = 971.69/x
  3. Step 3: Cross multiply
    2,305.19x = 3,458.51 × 971.69
  4. Step 4: Simplify right side
    2,305.19x = 3,360,584.72
  5. Step 5: Solve for x
    x = 3,360,584.72/2,305.19
  6. Step 6: Final answer
    x = 1,457.84

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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.