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Finding the Fourth Proportional to 8,470.31, 11,689 and 4,885.25

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Solution

The fourth proportional to 8,470.31, 11,689 and 4,885.25 is: 6,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.31 : 11,689 = 4,885.25 : x
  2. Step 2: Convert to fraction form
    8,470.31/11,689 = 4,885.25/x
  3. Step 3: Cross multiply
    8,470.31x = 11,689 × 4,885.25
  4. Step 4: Simplify right side
    8,470.31x = 57,103,687.25
  5. Step 5: Solve for x
    x = 57,103,687.25/8,470.31
  6. Step 6: Final answer
    x = 6,741.63

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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.