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Finding the Fourth Proportional to 2,653.95, 3,661.43 and 1,709.67

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Solution

The fourth proportional to 2,653.95, 3,661.43 and 1,709.67 is: 2,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.95 : 3,661.43 = 1,709.67 : x
  2. Step 2: Convert to fraction form
    2,653.95/3,661.43 = 1,709.67/x
  3. Step 3: Cross multiply
    2,653.95x = 3,661.43 × 1,709.67
  4. Step 4: Simplify right side
    2,653.95x = 6,259,816.13
  5. Step 5: Solve for x
    x = 6,259,816.13/2,653.95
  6. Step 6: Final answer
    x = 2,358.68

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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.