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Finding the Fourth Proportional to 2,997.68, 4,495.14 and 917.94

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Solution

The fourth proportional to 2,997.68, 4,495.14 and 917.94 is: 1,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.68 : 4,495.14 = 917.94 : x
  2. Step 2: Convert to fraction form
    2,997.68/4,495.14 = 917.94/x
  3. Step 3: Cross multiply
    2,997.68x = 4,495.14 × 917.94
  4. Step 4: Simplify right side
    2,997.68x = 4,126,268.81
  5. Step 5: Solve for x
    x = 4,126,268.81/2,997.68
  6. Step 6: Final answer
    x = 1,376.49

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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.