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Finding the Fourth Proportional to 7,113.88, 9,817.23 and 3,970

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Solution

The fourth proportional to 7,113.88, 9,817.23 and 3,970 is: 5,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.88 : 9,817.23 = 3,970 : x
  2. Step 2: Convert to fraction form
    7,113.88/9,817.23 = 3,970/x
  3. Step 3: Cross multiply
    7,113.88x = 9,817.23 × 3,970
  4. Step 4: Simplify right side
    7,113.88x = 38,974,403.10
  5. Step 5: Solve for x
    x = 38,974,403.10/7,113.88
  6. Step 6: Final answer
    x = 5,478.64

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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.