Home / 2,161.24-2,984.96-1,461.40

Finding the Fourth Proportional to 2,161.24, 2,984.96 and 1,461.40

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Solution

The fourth proportional to 2,161.24, 2,984.96 and 1,461.40 is: 2,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.24 : 2,984.96 = 1,461.40 : x
  2. Step 2: Convert to fraction form
    2,161.24/2,984.96 = 1,461.40/x
  3. Step 3: Cross multiply
    2,161.24x = 2,984.96 × 1,461.40
  4. Step 4: Simplify right side
    2,161.24x = 4,362,220.54
  5. Step 5: Solve for x
    x = 4,362,220.54/2,161.24
  6. Step 6: Final answer
    x = 2,018.39

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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.