Home / 12,822.72-17,676-10,023.36

Finding the Fourth Proportional to 12,822.72, 17,676 and 10,023.36

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Solution

The fourth proportional to 12,822.72, 17,676 and 10,023.36 is: 13,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.72 : 17,676 = 10,023.36 : x
  2. Step 2: Convert to fraction form
    12,822.72/17,676 = 10,023.36/x
  3. Step 3: Cross multiply
    12,822.72x = 17,676 × 10,023.36
  4. Step 4: Simplify right side
    12,822.72x = 177,172,911.36
  5. Step 5: Solve for x
    x = 177,172,911.36/12,822.72
  6. Step 6: Final answer
    x = 13,817.11

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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.