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Finding the Fourth Proportional to 9,790.32, 13,512.74 and 7,661.64

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Solution

The fourth proportional to 9,790.32, 13,512.74 and 7,661.64 is: 10,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.32 : 13,512.74 = 7,661.64 : x
  2. Step 2: Convert to fraction form
    9,790.32/13,512.74 = 7,661.64/x
  3. Step 3: Cross multiply
    9,790.32x = 13,512.74 × 7,661.64
  4. Step 4: Simplify right side
    9,790.32x = 103,529,710.99
  5. Step 5: Solve for x
    x = 103,529,710.99/9,790.32
  6. Step 6: Final answer
    x = 10,574.70

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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.