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Finding the Fourth Proportional to 9,640.80, 13,288.92 and 7,869.36

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Solution

The fourth proportional to 9,640.80, 13,288.92 and 7,869.36 is: 10,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 13,288.92 = 7,869.36 : x
  2. Step 2: Convert to fraction form
    9,640.80/13,288.92 = 7,869.36/x
  3. Step 3: Cross multiply
    9,640.80x = 13,288.92 × 7,869.36
  4. Step 4: Simplify right side
    9,640.80x = 104,575,295.49
  5. Step 5: Solve for x
    x = 104,575,295.49/9,640.80
  6. Step 6: Final answer
    x = 10,847.16

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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.