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Finding the Fourth Proportional to 7,121.88, 9,823.62 and 4,731.80

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Solution

The fourth proportional to 7,121.88, 9,823.62 and 4,731.80 is: 6,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.88 : 9,823.62 = 4,731.80 : x
  2. Step 2: Convert to fraction form
    7,121.88/9,823.62 = 4,731.80/x
  3. Step 3: Cross multiply
    7,121.88x = 9,823.62 × 4,731.80
  4. Step 4: Simplify right side
    7,121.88x = 46,483,405.12
  5. Step 5: Solve for x
    x = 46,483,405.12/7,121.88
  6. Step 6: Final answer
    x = 6,526.84

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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.