Home / 2,153.80-3,212.51-1,965.16

Finding the Fourth Proportional to 2,153.80, 3,212.51 and 1,965.16

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Solution

The fourth proportional to 2,153.80, 3,212.51 and 1,965.16 is: 2,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.80 : 3,212.51 = 1,965.16 : x
  2. Step 2: Convert to fraction form
    2,153.80/3,212.51 = 1,965.16/x
  3. Step 3: Cross multiply
    2,153.80x = 3,212.51 × 1,965.16
  4. Step 4: Simplify right side
    2,153.80x = 6,313,096.15
  5. Step 5: Solve for x
    x = 6,313,096.15/2,153.80
  6. Step 6: Final answer
    x = 2,931.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.