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Finding the Fourth Proportional to 2,648.42, 3,969.19 and 1,985.08

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Solution

The fourth proportional to 2,648.42, 3,969.19 and 1,985.08 is: 2,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.42 : 3,969.19 = 1,985.08 : x
  2. Step 2: Convert to fraction form
    2,648.42/3,969.19 = 1,985.08/x
  3. Step 3: Cross multiply
    2,648.42x = 3,969.19 × 1,985.08
  4. Step 4: Simplify right side
    2,648.42x = 7,879,159.69
  5. Step 5: Solve for x
    x = 7,879,159.69/2,648.42
  6. Step 6: Final answer
    x = 2,975.04

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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.