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Finding the Fourth Proportional to 4,905, 7,360.74 and 1,827

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Solution

The fourth proportional to 4,905, 7,360.74 and 1,827 is: 2,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905 : 7,360.74 = 1,827 : x
  2. Step 2: Convert to fraction form
    4,905/7,360.74 = 1,827/x
  3. Step 3: Cross multiply
    4,905x = 7,360.74 × 1,827
  4. Step 4: Simplify right side
    4,905x = 13,448,071.98
  5. Step 5: Solve for x
    x = 13,448,071.98/4,905
  6. Step 6: Final answer
    x = 2,741.71

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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.