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Finding the Fourth Proportional to 4,841.64, 7,262.42 and 1,378.90

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Solution

The fourth proportional to 4,841.64, 7,262.42 and 1,378.90 is: 2,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.64 : 7,262.42 = 1,378.90 : x
  2. Step 2: Convert to fraction form
    4,841.64/7,262.42 = 1,378.90/x
  3. Step 3: Cross multiply
    4,841.64x = 7,262.42 × 1,378.90
  4. Step 4: Simplify right side
    4,841.64x = 10,014,150.94
  5. Step 5: Solve for x
    x = 10,014,150.94/4,841.64
  6. Step 6: Final answer
    x = 2,068.34

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1.5x scale

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.