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Finding the Fourth Proportional to 7,694, 10,617.72 and 4,382.64

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Solution

The fourth proportional to 7,694, 10,617.72 and 4,382.64 is: 6,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 10,617.72 = 4,382.64 : x
  2. Step 2: Convert to fraction form
    7,694/10,617.72 = 4,382.64/x
  3. Step 3: Cross multiply
    7,694x = 10,617.72 × 4,382.64
  4. Step 4: Simplify right side
    7,694x = 46,533,644.38
  5. Step 5: Solve for x
    x = 46,533,644.38/7,694
  6. Step 6: Final answer
    x = 6,048.04

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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.