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Finding the Fourth Proportional to 8,735.70, 13,040.22 and 8,085.29

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Solution

The fourth proportional to 8,735.70, 13,040.22 and 8,085.29 is: 12,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.70 : 13,040.22 = 8,085.29 : x
  2. Step 2: Convert to fraction form
    8,735.70/13,040.22 = 8,085.29/x
  3. Step 3: Cross multiply
    8,735.70x = 13,040.22 × 8,085.29
  4. Step 4: Simplify right side
    8,735.70x = 105,433,967.29
  5. Step 5: Solve for x
    x = 105,433,967.29/8,735.70
  6. Step 6: Final answer
    x = 12,069.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.