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Finding the Fourth Proportional to 13,129, 18,117.84 and 7,824.04

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Solution

The fourth proportional to 13,129, 18,117.84 and 7,824.04 is: 10,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129 : 18,117.84 = 7,824.04 : x
  2. Step 2: Convert to fraction form
    13,129/18,117.84 = 7,824.04/x
  3. Step 3: Cross multiply
    13,129x = 18,117.84 × 7,824.04
  4. Step 4: Simplify right side
    13,129x = 141,754,704.87
  5. Step 5: Solve for x
    x = 141,754,704.87/13,129
  6. Step 6: Final answer
    x = 10,797.07

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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.