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Finding the Fourth Proportional to 1,942.70, 2,915.65 and 904.30

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Solution

The fourth proportional to 1,942.70, 2,915.65 and 904.30 is: 1,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.70 : 2,915.65 = 904.30 : x
  2. Step 2: Convert to fraction form
    1,942.70/2,915.65 = 904.30/x
  3. Step 3: Cross multiply
    1,942.70x = 2,915.65 × 904.30
  4. Step 4: Simplify right side
    1,942.70x = 2,636,622.30
  5. Step 5: Solve for x
    x = 2,636,622.30/1,942.70
  6. Step 6: Final answer
    x = 1,357.19

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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.