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Finding the Fourth Proportional to 6,891.74, 9,515.34 and 4,656.75

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Solution

The fourth proportional to 6,891.74, 9,515.34 and 4,656.75 is: 6,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.74 : 9,515.34 = 4,656.75 : x
  2. Step 2: Convert to fraction form
    6,891.74/9,515.34 = 4,656.75/x
  3. Step 3: Cross multiply
    6,891.74x = 9,515.34 × 4,656.75
  4. Step 4: Simplify right side
    6,891.74x = 44,310,559.55
  5. Step 5: Solve for x
    x = 44,310,559.55/6,891.74
  6. Step 6: Final answer
    x = 6,429.52

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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.