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Finding the Fourth Proportional to 4,840, 7,260.62 and 1,377.34

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Solution

The fourth proportional to 4,840, 7,260.62 and 1,377.34 is: 2,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840 : 7,260.62 = 1,377.34 : x
  2. Step 2: Convert to fraction form
    4,840/7,260.62 = 1,377.34/x
  3. Step 3: Cross multiply
    4,840x = 7,260.62 × 1,377.34
  4. Step 4: Simplify right side
    4,840x = 10,000,342.35
  5. Step 5: Solve for x
    x = 10,000,342.35/4,840
  6. Step 6: Final answer
    x = 2,066.19

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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.