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Finding the Fourth Proportional to 1,975.50, 2,718.06 and 1,926.90

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Solution

The fourth proportional to 1,975.50, 2,718.06 and 1,926.90 is: 2,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.50 : 2,718.06 = 1,926.90 : x
  2. Step 2: Convert to fraction form
    1,975.50/2,718.06 = 1,926.90/x
  3. Step 3: Cross multiply
    1,975.50x = 2,718.06 × 1,926.90
  4. Step 4: Simplify right side
    1,975.50x = 5,237,429.81
  5. Step 5: Solve for x
    x = 5,237,429.81/1,975.50
  6. Step 6: Final answer
    x = 2,651.19

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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.