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Finding the Fourth Proportional to 7,232, 9,980.16 and 3,920

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Solution

The fourth proportional to 7,232, 9,980.16 and 3,920 is: 5,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232 : 9,980.16 = 3,920 : x
  2. Step 2: Convert to fraction form
    7,232/9,980.16 = 3,920/x
  3. Step 3: Cross multiply
    7,232x = 9,980.16 × 3,920
  4. Step 4: Simplify right side
    7,232x = 39,122,227.20
  5. Step 5: Solve for x
    x = 39,122,227.20/7,232
  6. Step 6: Final answer
    x = 5,409.60

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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.