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Finding the Fourth Proportional to 5,214.69, 7,822.06 and 1,319.10

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Solution

The fourth proportional to 5,214.69, 7,822.06 and 1,319.10 is: 1,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.69 : 7,822.06 = 1,319.10 : x
  2. Step 2: Convert to fraction form
    5,214.69/7,822.06 = 1,319.10/x
  3. Step 3: Cross multiply
    5,214.69x = 7,822.06 × 1,319.10
  4. Step 4: Simplify right side
    5,214.69x = 10,318,079.35
  5. Step 5: Solve for x
    x = 10,318,079.35/5,214.69
  6. Step 6: Final answer
    x = 1,978.66

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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.