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Finding the Fourth Proportional to 3,122.79, 4,683.64 and 931.00

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Solution

The fourth proportional to 3,122.79, 4,683.64 and 931.00 is: 1,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.79 : 4,683.64 = 931.00 : x
  2. Step 2: Convert to fraction form
    3,122.79/4,683.64 = 931.00/x
  3. Step 3: Cross multiply
    3,122.79x = 4,683.64 × 931.00
  4. Step 4: Simplify right side
    3,122.79x = 4,360,465.33
  5. Step 5: Solve for x
    x = 4,360,465.33/3,122.79
  6. Step 6: Final answer
    x = 1,396.34

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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.