Home / 2,945.09-4,417.74-971.02

Finding the Fourth Proportional to 2,945.09, 4,417.74 and 971.02

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Solution

The fourth proportional to 2,945.09, 4,417.74 and 971.02 is: 1,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.09 : 4,417.74 = 971.02 : x
  2. Step 2: Convert to fraction form
    2,945.09/4,417.74 = 971.02/x
  3. Step 3: Cross multiply
    2,945.09x = 4,417.74 × 971.02
  4. Step 4: Simplify right side
    2,945.09x = 4,289,719.42
  5. Step 5: Solve for x
    x = 4,289,719.42/2,945.09
  6. Step 6: Final answer
    x = 1,456.57

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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.