Home / 1,729.11-2,386.24-983.14

Finding the Fourth Proportional to 1,729.11, 2,386.24 and 983.14

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Solution

The fourth proportional to 1,729.11, 2,386.24 and 983.14 is: 1,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.11 : 2,386.24 = 983.14 : x
  2. Step 2: Convert to fraction form
    1,729.11/2,386.24 = 983.14/x
  3. Step 3: Cross multiply
    1,729.11x = 2,386.24 × 983.14
  4. Step 4: Simplify right side
    1,729.11x = 2,346,011.81
  5. Step 5: Solve for x
    x = 2,346,011.81/1,729.11
  6. Step 6: Final answer
    x = 1,356.77

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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.