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Finding the Fourth Proportional to 7,832.10, 10,802.25 and 4,684.98

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Solution

The fourth proportional to 7,832.10, 10,802.25 and 4,684.98 is: 6,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.10 : 10,802.25 = 4,684.98 : x
  2. Step 2: Convert to fraction form
    7,832.10/10,802.25 = 4,684.98/x
  3. Step 3: Cross multiply
    7,832.10x = 10,802.25 × 4,684.98
  4. Step 4: Simplify right side
    7,832.10x = 50,608,325.21
  5. Step 5: Solve for x
    x = 50,608,325.21/7,832.10
  6. Step 6: Final answer
    x = 6,461.65

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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.