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Finding the Fourth Proportional to 5,670.65, 7,823.31 and 3,431.71

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Solution

The fourth proportional to 5,670.65, 7,823.31 and 3,431.71 is: 4,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.65 : 7,823.31 = 3,431.71 : x
  2. Step 2: Convert to fraction form
    5,670.65/7,823.31 = 3,431.71/x
  3. Step 3: Cross multiply
    5,670.65x = 7,823.31 × 3,431.71
  4. Step 4: Simplify right side
    5,670.65x = 26,847,332.22
  5. Step 5: Solve for x
    x = 26,847,332.22/5,670.65
  6. Step 6: Final answer
    x = 4,734.43

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1.5x scale

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.