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Finding the Fourth Proportional to 2,901.68, 4,004.64 and 1,659.68

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Solution

The fourth proportional to 2,901.68, 4,004.64 and 1,659.68 is: 2,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.68 : 4,004.64 = 1,659.68 : x
  2. Step 2: Convert to fraction form
    2,901.68/4,004.64 = 1,659.68/x
  3. Step 3: Cross multiply
    2,901.68x = 4,004.64 × 1,659.68
  4. Step 4: Simplify right side
    2,901.68x = 6,646,420.92
  5. Step 5: Solve for x
    x = 6,646,420.92/2,901.68
  6. Step 6: Final answer
    x = 2,290.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.