Home / 1,728.47-2,386.70-1,409.50

Finding the Fourth Proportional to 1,728.47, 2,386.70 and 1,409.50

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Solution

The fourth proportional to 1,728.47, 2,386.70 and 1,409.50 is: 1,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.47 : 2,386.70 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    1,728.47/2,386.70 = 1,409.50/x
  3. Step 3: Cross multiply
    1,728.47x = 2,386.70 × 1,409.50
  4. Step 4: Simplify right side
    1,728.47x = 3,364,053.65
  5. Step 5: Solve for x
    x = 3,364,053.65/1,728.47
  6. Step 6: Final answer
    x = 1,946.26

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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.