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Finding the Fourth Proportional to 1,680.76, 2,319.54 and 1,091.80

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Solution

The fourth proportional to 1,680.76, 2,319.54 and 1,091.80 is: 1,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.76 : 2,319.54 = 1,091.80 : x
  2. Step 2: Convert to fraction form
    1,680.76/2,319.54 = 1,091.80/x
  3. Step 3: Cross multiply
    1,680.76x = 2,319.54 × 1,091.80
  4. Step 4: Simplify right side
    1,680.76x = 2,532,473.77
  5. Step 5: Solve for x
    x = 2,532,473.77/1,680.76
  6. Step 6: Final answer
    x = 1,506.74

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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.