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Finding the Fourth Proportional to 9,305.64, 12,829.86 and 7,620.84

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Solution

The fourth proportional to 9,305.64, 12,829.86 and 7,620.84 is: 10,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.64 : 12,829.86 = 7,620.84 : x
  2. Step 2: Convert to fraction form
    9,305.64/12,829.86 = 7,620.84/x
  3. Step 3: Cross multiply
    9,305.64x = 12,829.86 × 7,620.84
  4. Step 4: Simplify right side
    9,305.64x = 97,774,310.28
  5. Step 5: Solve for x
    x = 97,774,310.28/9,305.64
  6. Step 6: Final answer
    x = 10,506.99

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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.