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Finding the Fourth Proportional to 2,617.75, 3,926.02 and 975.07

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Solution

The fourth proportional to 2,617.75, 3,926.02 and 975.07 is: 1,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.75 : 3,926.02 = 975.07 : x
  2. Step 2: Convert to fraction form
    2,617.75/3,926.02 = 975.07/x
  3. Step 3: Cross multiply
    2,617.75x = 3,926.02 × 975.07
  4. Step 4: Simplify right side
    2,617.75x = 3,828,144.32
  5. Step 5: Solve for x
    x = 3,828,144.32/2,617.75
  6. Step 6: Final answer
    x = 1,462.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.