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Finding the Fourth Proportional to 13,129.70, 18,119.46 and 7,465.40

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Solution

The fourth proportional to 13,129.70, 18,119.46 and 7,465.40 is: 10,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.70 : 18,119.46 = 7,465.40 : x
  2. Step 2: Convert to fraction form
    13,129.70/18,119.46 = 7,465.40/x
  3. Step 3: Cross multiply
    13,129.70x = 18,119.46 × 7,465.40
  4. Step 4: Simplify right side
    13,129.70x = 135,268,926.09
  5. Step 5: Solve for x
    x = 135,268,926.09/13,129.70
  6. Step 6: Final answer
    x = 10,302.52

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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.