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Finding the Fourth Proportional to 3,315.90, 4,974.51 and 975.96

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Solution

The fourth proportional to 3,315.90, 4,974.51 and 975.96 is: 1,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.90 : 4,974.51 = 975.96 : x
  2. Step 2: Convert to fraction form
    3,315.90/4,974.51 = 975.96/x
  3. Step 3: Cross multiply
    3,315.90x = 4,974.51 × 975.96
  4. Step 4: Simplify right side
    3,315.90x = 4,854,922.78
  5. Step 5: Solve for x
    x = 4,854,922.78/3,315.90
  6. Step 6: Final answer
    x = 1,464.13

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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.