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Finding the Fourth Proportional to 7,170.96, 9,898.25 and 4,648.62

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Solution

The fourth proportional to 7,170.96, 9,898.25 and 4,648.62 is: 6,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.96 : 9,898.25 = 4,648.62 : x
  2. Step 2: Convert to fraction form
    7,170.96/9,898.25 = 4,648.62/x
  3. Step 3: Cross multiply
    7,170.96x = 9,898.25 × 4,648.62
  4. Step 4: Simplify right side
    7,170.96x = 46,013,179.67
  5. Step 5: Solve for x
    x = 46,013,179.67/7,170.96
  6. Step 6: Final answer
    x = 6,416.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.