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Finding the Fourth Proportional to 2,946.76, 4,070.46 and 2,065.48

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Solution

The fourth proportional to 2,946.76, 4,070.46 and 2,065.48 is: 2,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.76 : 4,070.46 = 2,065.48 : x
  2. Step 2: Convert to fraction form
    2,946.76/4,070.46 = 2,065.48/x
  3. Step 3: Cross multiply
    2,946.76x = 4,070.46 × 2,065.48
  4. Step 4: Simplify right side
    2,946.76x = 8,407,453.72
  5. Step 5: Solve for x
    x = 8,407,453.72/2,946.76
  6. Step 6: Final answer
    x = 2,853.12

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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.