Home / 1,471.68-2,206.32-1,309.68

Finding the Fourth Proportional to 1,471.68, 2,206.32 and 1,309.68

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Solution

The fourth proportional to 1,471.68, 2,206.32 and 1,309.68 is: 1,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.68 : 2,206.32 = 1,309.68 : x
  2. Step 2: Convert to fraction form
    1,471.68/2,206.32 = 1,309.68/x
  3. Step 3: Cross multiply
    1,471.68x = 2,206.32 × 1,309.68
  4. Step 4: Simplify right side
    1,471.68x = 2,889,573.18
  5. Step 5: Solve for x
    x = 2,889,573.18/1,471.68
  6. Step 6: Final answer
    x = 1,963.45

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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.