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Finding the Fourth Proportional to 4,919.74, 7,381.53 and 2,838.65

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Solution

The fourth proportional to 4,919.74, 7,381.53 and 2,838.65 is: 4,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.74 : 7,381.53 = 2,838.65 : x
  2. Step 2: Convert to fraction form
    4,919.74/7,381.53 = 2,838.65/x
  3. Step 3: Cross multiply
    4,919.74x = 7,381.53 × 2,838.65
  4. Step 4: Simplify right side
    4,919.74x = 20,953,543.23
  5. Step 5: Solve for x
    x = 20,953,543.23/4,919.74
  6. Step 6: Final answer
    x = 4,259.08

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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.