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Finding the Fourth Proportional to 7,220.34, 9,968.66 and 5,897.20

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Solution

The fourth proportional to 7,220.34, 9,968.66 and 5,897.20 is: 8,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.34 : 9,968.66 = 5,897.20 : x
  2. Step 2: Convert to fraction form
    7,220.34/9,968.66 = 5,897.20/x
  3. Step 3: Cross multiply
    7,220.34x = 9,968.66 × 5,897.20
  4. Step 4: Simplify right side
    7,220.34x = 58,787,181.75
  5. Step 5: Solve for x
    x = 58,787,181.75/7,220.34
  6. Step 6: Final answer
    x = 8,141.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.