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Finding the Fourth Proportional to 12,913.56, 17,820 and 7,324.56

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Solution

The fourth proportional to 12,913.56, 17,820 and 7,324.56 is: 10,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.56 : 17,820 = 7,324.56 : x
  2. Step 2: Convert to fraction form
    12,913.56/17,820 = 7,324.56/x
  3. Step 3: Cross multiply
    12,913.56x = 17,820 × 7,324.56
  4. Step 4: Simplify right side
    12,913.56x = 130,523,659.20
  5. Step 5: Solve for x
    x = 130,523,659.20/12,913.56
  6. Step 6: Final answer
    x = 10,107.49

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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.