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Finding the Fourth Proportional to 7,880.84, 10,891.23 and 6,462.32

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Solution

The fourth proportional to 7,880.84, 10,891.23 and 6,462.32 is: 8,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.84 : 10,891.23 = 6,462.32 : x
  2. Step 2: Convert to fraction form
    7,880.84/10,891.23 = 6,462.32/x
  3. Step 3: Cross multiply
    7,880.84x = 10,891.23 × 6,462.32
  4. Step 4: Simplify right side
    7,880.84x = 70,382,613.45
  5. Step 5: Solve for x
    x = 70,382,613.45/7,880.84
  6. Step 6: Final answer
    x = 8,930.86

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Half scale
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Double scale
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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.