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Finding the Fourth Proportional to 5,812.82, 8,719.15 and 1,430.31

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Solution

The fourth proportional to 5,812.82, 8,719.15 and 1,430.31 is: 2,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.82 : 8,719.15 = 1,430.31 : x
  2. Step 2: Convert to fraction form
    5,812.82/8,719.15 = 1,430.31/x
  3. Step 3: Cross multiply
    5,812.82x = 8,719.15 × 1,430.31
  4. Step 4: Simplify right side
    5,812.82x = 12,471,083.86
  5. Step 5: Solve for x
    x = 12,471,083.86/5,812.82
  6. Step 6: Final answer
    x = 2,145.45

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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.