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Finding the Fourth Proportional to 2,975.51, 4,462.93 and 784.41

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Solution

The fourth proportional to 2,975.51, 4,462.93 and 784.41 is: 1,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.51 : 4,462.93 = 784.41 : x
  2. Step 2: Convert to fraction form
    2,975.51/4,462.93 = 784.41/x
  3. Step 3: Cross multiply
    2,975.51x = 4,462.93 × 784.41
  4. Step 4: Simplify right side
    2,975.51x = 3,500,766.92
  5. Step 5: Solve for x
    x = 3,500,766.92/2,975.51
  6. Step 6: Final answer
    x = 1,176.53

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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.