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Finding the Fourth Proportional to 7,894.61, 11,784.12 and 6,960.47

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Solution

The fourth proportional to 7,894.61, 11,784.12 and 6,960.47 is: 10,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.61 : 11,784.12 = 6,960.47 : x
  2. Step 2: Convert to fraction form
    7,894.61/11,784.12 = 6,960.47/x
  3. Step 3: Cross multiply
    7,894.61x = 11,784.12 × 6,960.47
  4. Step 4: Simplify right side
    7,894.61x = 82,022,954.82
  5. Step 5: Solve for x
    x = 82,022,954.82/7,894.61
  6. Step 6: Final answer
    x = 10,389.75

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.