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Finding the Fourth Proportional to 1,710, 2,552.36 and 1,668.56

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Solution

The fourth proportional to 1,710, 2,552.36 and 1,668.56 is: 2,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710 : 2,552.36 = 1,668.56 : x
  2. Step 2: Convert to fraction form
    1,710/2,552.36 = 1,668.56/x
  3. Step 3: Cross multiply
    1,710x = 2,552.36 × 1,668.56
  4. Step 4: Simplify right side
    1,710x = 4,258,744.70
  5. Step 5: Solve for x
    x = 4,258,744.70/1,710
  6. Step 6: Final answer
    x = 2,490.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.