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Finding the Fourth Proportional to 4,718.72, 7,076.86 and 1,946.18

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Solution

The fourth proportional to 4,718.72, 7,076.86 and 1,946.18 is: 2,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.72 : 7,076.86 = 1,946.18 : x
  2. Step 2: Convert to fraction form
    4,718.72/7,076.86 = 1,946.18/x
  3. Step 3: Cross multiply
    4,718.72x = 7,076.86 × 1,946.18
  4. Step 4: Simplify right side
    4,718.72x = 13,772,843.39
  5. Step 5: Solve for x
    x = 13,772,843.39/4,718.72
  6. Step 6: Final answer
    x = 2,918.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.