Home / 2,822.11-4,230.65-971.93

Finding the Fourth Proportional to 2,822.11, 4,230.65 and 971.93

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Solution

The fourth proportional to 2,822.11, 4,230.65 and 971.93 is: 1,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.11 : 4,230.65 = 971.93 : x
  2. Step 2: Convert to fraction form
    2,822.11/4,230.65 = 971.93/x
  3. Step 3: Cross multiply
    2,822.11x = 4,230.65 × 971.93
  4. Step 4: Simplify right side
    2,822.11x = 4,111,908.66
  5. Step 5: Solve for x
    x = 4,111,908.66/2,822.11
  6. Step 6: Final answer
    x = 1,457.03

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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.