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Finding the Fourth Proportional to 4,969.38, 7,454 and 1,271.58

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Solution

The fourth proportional to 4,969.38, 7,454 and 1,271.58 is: 1,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.38 : 7,454 = 1,271.58 : x
  2. Step 2: Convert to fraction form
    4,969.38/7,454 = 1,271.58/x
  3. Step 3: Cross multiply
    4,969.38x = 7,454 × 1,271.58
  4. Step 4: Simplify right side
    4,969.38x = 9,478,357.32
  5. Step 5: Solve for x
    x = 9,478,357.32/4,969.38
  6. Step 6: Final answer
    x = 1,907.35

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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.