Home / 1,782.30-2,673.56-686.67

Finding the Fourth Proportional to 1,782.30, 2,673.56 and 686.67

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Solution

The fourth proportional to 1,782.30, 2,673.56 and 686.67 is: 1,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.30 : 2,673.56 = 686.67 : x
  2. Step 2: Convert to fraction form
    1,782.30/2,673.56 = 686.67/x
  3. Step 3: Cross multiply
    1,782.30x = 2,673.56 × 686.67
  4. Step 4: Simplify right side
    1,782.30x = 1,835,836.64
  5. Step 5: Solve for x
    x = 1,835,836.64/1,782.30
  6. Step 6: Final answer
    x = 1,030.04

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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.