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Finding the Fourth Proportional to 1,907.55, 2,858.90 and 1,472.58

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Solution

The fourth proportional to 1,907.55, 2,858.90 and 1,472.58 is: 2,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.55 : 2,858.90 = 1,472.58 : x
  2. Step 2: Convert to fraction form
    1,907.55/2,858.90 = 1,472.58/x
  3. Step 3: Cross multiply
    1,907.55x = 2,858.90 × 1,472.58
  4. Step 4: Simplify right side
    1,907.55x = 4,209,951.60
  5. Step 5: Solve for x
    x = 4,209,951.60/1,907.55
  6. Step 6: Final answer
    x = 2,206.99

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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.