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Finding the Fourth Proportional to 11,362.80, 15,675.20 and 6,823.20

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Solution

The fourth proportional to 11,362.80, 15,675.20 and 6,823.20 is: 9,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.80 : 15,675.20 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    11,362.80/15,675.20 = 6,823.20/x
  3. Step 3: Cross multiply
    11,362.80x = 15,675.20 × 6,823.20
  4. Step 4: Simplify right side
    11,362.80x = 106,955,024.64
  5. Step 5: Solve for x
    x = 106,955,024.64/11,362.80
  6. Step 6: Final answer
    x = 9,412.73

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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.