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Finding the Fourth Proportional to 13,429.88, 18,532.15 and 7,764.99

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Solution

The fourth proportional to 13,429.88, 18,532.15 and 7,764.99 is: 10,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.88 : 18,532.15 = 7,764.99 : x
  2. Step 2: Convert to fraction form
    13,429.88/18,532.15 = 7,764.99/x
  3. Step 3: Cross multiply
    13,429.88x = 18,532.15 × 7,764.99
  4. Step 4: Simplify right side
    13,429.88x = 143,901,959.43
  5. Step 5: Solve for x
    x = 143,901,959.43/13,429.88
  6. Step 6: Final answer
    x = 10,715.06

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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.