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Finding the Fourth Proportional to 1,668.81, 2,501.73 and 846.66

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Solution

The fourth proportional to 1,668.81, 2,501.73 and 846.66 is: 1,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.81 : 2,501.73 = 846.66 : x
  2. Step 2: Convert to fraction form
    1,668.81/2,501.73 = 846.66/x
  3. Step 3: Cross multiply
    1,668.81x = 2,501.73 × 846.66
  4. Step 4: Simplify right side
    1,668.81x = 2,118,114.72
  5. Step 5: Solve for x
    x = 2,118,114.72/1,668.81
  6. Step 6: Final answer
    x = 1,269.24

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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.