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Finding the Fourth Proportional to 5,214.66, 7,821.93 and 2,095.46

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Solution

The fourth proportional to 5,214.66, 7,821.93 and 2,095.46 is: 3,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.66 : 7,821.93 = 2,095.46 : x
  2. Step 2: Convert to fraction form
    5,214.66/7,821.93 = 2,095.46/x
  3. Step 3: Cross multiply
    5,214.66x = 7,821.93 × 2,095.46
  4. Step 4: Simplify right side
    5,214.66x = 16,390,541.44
  5. Step 5: Solve for x
    x = 16,390,541.44/5,214.66
  6. Step 6: Final answer
    x = 3,143.17

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Why These Related Problems?

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