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Finding the Fourth Proportional to 2,478.69, 3,713.93 and 1,650.36

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Solution

The fourth proportional to 2,478.69, 3,713.93 and 1,650.36 is: 2,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.69 : 3,713.93 = 1,650.36 : x
  2. Step 2: Convert to fraction form
    2,478.69/3,713.93 = 1,650.36/x
  3. Step 3: Cross multiply
    2,478.69x = 3,713.93 × 1,650.36
  4. Step 4: Simplify right side
    2,478.69x = 6,129,321.51
  5. Step 5: Solve for x
    x = 6,129,321.51/2,478.69
  6. Step 6: Final answer
    x = 2,472.81

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1.5x scale

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.