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Finding the Fourth Proportional to 2,163.28, 2,986.32 and 1,417.28

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Solution

The fourth proportional to 2,163.28, 2,986.32 and 1,417.28 is: 1,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.28 : 2,986.32 = 1,417.28 : x
  2. Step 2: Convert to fraction form
    2,163.28/2,986.32 = 1,417.28/x
  3. Step 3: Cross multiply
    2,163.28x = 2,986.32 × 1,417.28
  4. Step 4: Simplify right side
    2,163.28x = 4,232,451.61
  5. Step 5: Solve for x
    x = 4,232,451.61/2,163.28
  6. Step 6: Final answer
    x = 1,956.50

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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.