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Finding the Fourth Proportional to 13,776.30, 20,664.45 and 6,864.30

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Solution

The fourth proportional to 13,776.30, 20,664.45 and 6,864.30 is: 10,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.30 : 20,664.45 = 6,864.30 : x
  2. Step 2: Convert to fraction form
    13,776.30/20,664.45 = 6,864.30/x
  3. Step 3: Cross multiply
    13,776.30x = 20,664.45 × 6,864.30
  4. Step 4: Simplify right side
    13,776.30x = 141,846,984.14
  5. Step 5: Solve for x
    x = 141,846,984.14/13,776.30
  6. Step 6: Final answer
    x = 10,296.45

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1.5x scale

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.