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Finding the Fourth Proportional to 9,509.64, 13,126.91 and 8,513.13

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Solution

The fourth proportional to 9,509.64, 13,126.91 and 8,513.13 is: 11,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.64 : 13,126.91 = 8,513.13 : x
  2. Step 2: Convert to fraction form
    9,509.64/13,126.91 = 8,513.13/x
  3. Step 3: Cross multiply
    9,509.64x = 13,126.91 × 8,513.13
  4. Step 4: Simplify right side
    9,509.64x = 111,751,048.76
  5. Step 5: Solve for x
    x = 111,751,048.76/9,509.64
  6. Step 6: Final answer
    x = 11,751.34

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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.