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Finding the Fourth Proportional to 5,307.98, 7,962.17 and 2,021.40

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Solution

The fourth proportional to 5,307.98, 7,962.17 and 2,021.40 is: 3,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.98 : 7,962.17 = 2,021.40 : x
  2. Step 2: Convert to fraction form
    5,307.98/7,962.17 = 2,021.40/x
  3. Step 3: Cross multiply
    5,307.98x = 7,962.17 × 2,021.40
  4. Step 4: Simplify right side
    5,307.98x = 16,094,720.33
  5. Step 5: Solve for x
    x = 16,094,720.33/5,307.98
  6. Step 6: Final answer
    x = 3,032.18

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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.