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Finding the Fourth Proportional to 5,891.31, 8,130.47 and 3,374.21

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Solution

The fourth proportional to 5,891.31, 8,130.47 and 3,374.21 is: 4,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.31 : 8,130.47 = 3,374.21 : x
  2. Step 2: Convert to fraction form
    5,891.31/8,130.47 = 3,374.21/x
  3. Step 3: Cross multiply
    5,891.31x = 8,130.47 × 3,374.21
  4. Step 4: Simplify right side
    5,891.31x = 27,433,913.18
  5. Step 5: Solve for x
    x = 27,433,913.18/5,891.31
  6. Step 6: Final answer
    x = 4,656.67

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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.