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Finding the Fourth Proportional to 4,680, 7,021.53 and 3,275.88

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Solution

The fourth proportional to 4,680, 7,021.53 and 3,275.88 is: 4,914.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680 : 7,021.53 = 3,275.88 : x
  2. Step 2: Convert to fraction form
    4,680/7,021.53 = 3,275.88/x
  3. Step 3: Cross multiply
    4,680x = 7,021.53 × 3,275.88
  4. Step 4: Simplify right side
    4,680x = 23,001,689.70
  5. Step 5: Solve for x
    x = 23,001,689.70/4,680
  6. Step 6: Final answer
    x = 4,914.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.