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Finding the Fourth Proportional to 1,648.94, 2,274 and 1,484.92

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Solution

The fourth proportional to 1,648.94, 2,274 and 1,484.92 is: 2,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.94 : 2,274 = 1,484.92 : x
  2. Step 2: Convert to fraction form
    1,648.94/2,274 = 1,484.92/x
  3. Step 3: Cross multiply
    1,648.94x = 2,274 × 1,484.92
  4. Step 4: Simplify right side
    1,648.94x = 3,376,696.71
  5. Step 5: Solve for x
    x = 3,376,696.71/1,648.94
  6. Step 6: Final answer
    x = 2,047.80

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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.