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Finding the Fourth Proportional to 1,678.88, 2,528.48 and 1,497.92

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Solution

The fourth proportional to 1,678.88, 2,528.48 and 1,497.92 is: 2,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.88 : 2,528.48 = 1,497.92 : x
  2. Step 2: Convert to fraction form
    1,678.88/2,528.48 = 1,497.92/x
  3. Step 3: Cross multiply
    1,678.88x = 2,528.48 × 1,497.92
  4. Step 4: Simplify right side
    1,678.88x = 3,787,460.76
  5. Step 5: Solve for x
    x = 3,787,460.76/1,678.88
  6. Step 6: Final answer
    x = 2,255.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.