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Finding the Fourth Proportional to 1,669.92, 2,490.96 and 1,529.76

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Solution

The fourth proportional to 1,669.92, 2,490.96 and 1,529.76 is: 2,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.92 : 2,490.96 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    1,669.92/2,490.96 = 1,529.76/x
  3. Step 3: Cross multiply
    1,669.92x = 2,490.96 × 1,529.76
  4. Step 4: Simplify right side
    1,669.92x = 3,810,570.97
  5. Step 5: Solve for x
    x = 3,810,570.97/1,669.92
  6. Step 6: Final answer
    x = 2,281.89

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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.