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Finding the Fourth Proportional to 3,943.07, 5,915.48 and 1,345.98

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Solution

The fourth proportional to 3,943.07, 5,915.48 and 1,345.98 is: 2,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.07 : 5,915.48 = 1,345.98 : x
  2. Step 2: Convert to fraction form
    3,943.07/5,915.48 = 1,345.98/x
  3. Step 3: Cross multiply
    3,943.07x = 5,915.48 × 1,345.98
  4. Step 4: Simplify right side
    3,943.07x = 7,962,117.77
  5. Step 5: Solve for x
    x = 7,962,117.77/3,943.07
  6. Step 6: Final answer
    x = 2,019.27

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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.