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Finding the Fourth Proportional to 1,668.96, 2,502.01 and 1,020.15

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Solution

The fourth proportional to 1,668.96, 2,502.01 and 1,020.15 is: 1,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.96 : 2,502.01 = 1,020.15 : x
  2. Step 2: Convert to fraction form
    1,668.96/2,502.01 = 1,020.15/x
  3. Step 3: Cross multiply
    1,668.96x = 2,502.01 × 1,020.15
  4. Step 4: Simplify right side
    1,668.96x = 2,552,425.50
  5. Step 5: Solve for x
    x = 2,552,425.50/1,668.96
  6. Step 6: Final answer
    x = 1,529.35

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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.