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Finding the Fourth Proportional to 5,670.79, 7,823.81 and 3,431.81

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Solution

The fourth proportional to 5,670.79, 7,823.81 and 3,431.81 is: 4,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.79 : 7,823.81 = 3,431.81 : x
  2. Step 2: Convert to fraction form
    5,670.79/7,823.81 = 3,431.81/x
  3. Step 3: Cross multiply
    5,670.79x = 7,823.81 × 3,431.81
  4. Step 4: Simplify right side
    5,670.79x = 26,849,829.40
  5. Step 5: Solve for x
    x = 26,849,829.40/5,670.79
  6. Step 6: Final answer
    x = 4,734.76

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Why These Related Problems?

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