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Finding the Fourth Proportional to 7,047.56, 9,720 and 4,811.96

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Solution

The fourth proportional to 7,047.56, 9,720 and 4,811.96 is: 6,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.56 : 9,720 = 4,811.96 : x
  2. Step 2: Convert to fraction form
    7,047.56/9,720 = 4,811.96/x
  3. Step 3: Cross multiply
    7,047.56x = 9,720 × 4,811.96
  4. Step 4: Simplify right side
    7,047.56x = 46,772,251.20
  5. Step 5: Solve for x
    x = 46,772,251.20/7,047.56
  6. Step 6: Final answer
    x = 6,636.66

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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.