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Finding the Fourth Proportional to 2,153.28, 2,980.07 and 2,101.51

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Solution

The fourth proportional to 2,153.28, 2,980.07 and 2,101.51 is: 2,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.28 : 2,980.07 = 2,101.51 : x
  2. Step 2: Convert to fraction form
    2,153.28/2,980.07 = 2,101.51/x
  3. Step 3: Cross multiply
    2,153.28x = 2,980.07 × 2,101.51
  4. Step 4: Simplify right side
    2,153.28x = 6,262,661.68
  5. Step 5: Solve for x
    x = 6,262,661.68/2,153.28
  6. Step 6: Final answer
    x = 2,908.42

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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.