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Finding the Fourth Proportional to 5,670.71, 7,823.51 and 3,431.77

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Solution

The fourth proportional to 5,670.71, 7,823.51 and 3,431.77 is: 4,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.71 : 7,823.51 = 3,431.77 : x
  2. Step 2: Convert to fraction form
    5,670.71/7,823.51 = 3,431.77/x
  3. Step 3: Cross multiply
    5,670.71x = 7,823.51 × 3,431.77
  4. Step 4: Simplify right side
    5,670.71x = 26,848,464.26
  5. Step 5: Solve for x
    x = 26,848,464.26/5,670.71
  6. Step 6: Final answer
    x = 4,734.59

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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.