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Finding the Fourth Proportional to 9,156.71, 13,735.06 and 8,689.24

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Solution

The fourth proportional to 9,156.71, 13,735.06 and 8,689.24 is: 13,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.71 : 13,735.06 = 8,689.24 : x
  2. Step 2: Convert to fraction form
    9,156.71/13,735.06 = 8,689.24/x
  3. Step 3: Cross multiply
    9,156.71x = 13,735.06 × 8,689.24
  4. Step 4: Simplify right side
    9,156.71x = 119,347,232.75
  5. Step 5: Solve for x
    x = 119,347,232.75/9,156.71
  6. Step 6: Final answer
    x = 13,033.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.