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Finding the Fourth Proportional to 1,948.07, 2,922.29 and 715.19

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Solution

The fourth proportional to 1,948.07, 2,922.29 and 715.19 is: 1,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.07 : 2,922.29 = 715.19 : x
  2. Step 2: Convert to fraction form
    1,948.07/2,922.29 = 715.19/x
  3. Step 3: Cross multiply
    1,948.07x = 2,922.29 × 715.19
  4. Step 4: Simplify right side
    1,948.07x = 2,089,974.40
  5. Step 5: Solve for x
    x = 2,089,974.40/1,948.07
  6. Step 6: Final answer
    x = 1,072.85

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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.