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Finding the Fourth Proportional to 4,938.74, 7,411.04 and 1,820.93

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Solution

The fourth proportional to 4,938.74, 7,411.04 and 1,820.93 is: 2,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.74 : 7,411.04 = 1,820.93 : x
  2. Step 2: Convert to fraction form
    4,938.74/7,411.04 = 1,820.93/x
  3. Step 3: Cross multiply
    4,938.74x = 7,411.04 × 1,820.93
  4. Step 4: Simplify right side
    4,938.74x = 13,494,987.42
  5. Step 5: Solve for x
    x = 13,494,987.42/4,938.74
  6. Step 6: Final answer
    x = 2,732.47

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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.