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Finding the Fourth Proportional to 1,668.86, 2,303.70 and 1,006.28

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Solution

The fourth proportional to 1,668.86, 2,303.70 and 1,006.28 is: 1,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.86 : 2,303.70 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    1,668.86/2,303.70 = 1,006.28/x
  3. Step 3: Cross multiply
    1,668.86x = 2,303.70 × 1,006.28
  4. Step 4: Simplify right side
    1,668.86x = 2,318,167.24
  5. Step 5: Solve for x
    x = 2,318,167.24/1,668.86
  6. Step 6: Final answer
    x = 1,389.07

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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.