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Finding the Fourth Proportional to 2,700.96, 4,051.44 and 648.96

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Solution

The fourth proportional to 2,700.96, 4,051.44 and 648.96 is: 973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.96 : 4,051.44 = 648.96 : x
  2. Step 2: Convert to fraction form
    2,700.96/4,051.44 = 648.96/x
  3. Step 3: Cross multiply
    2,700.96x = 4,051.44 × 648.96
  4. Step 4: Simplify right side
    2,700.96x = 2,629,222.50
  5. Step 5: Solve for x
    x = 2,629,222.50/2,700.96
  6. Step 6: Final answer
    x = 973.44

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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.