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Finding the Fourth Proportional to 13,510.54, 20,265.81 and 5,719.42

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Solution

The fourth proportional to 13,510.54, 20,265.81 and 5,719.42 is: 8,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.54 : 20,265.81 = 5,719.42 : x
  2. Step 2: Convert to fraction form
    13,510.54/20,265.81 = 5,719.42/x
  3. Step 3: Cross multiply
    13,510.54x = 20,265.81 × 5,719.42
  4. Step 4: Simplify right side
    13,510.54x = 115,908,679.03
  5. Step 5: Solve for x
    x = 115,908,679.03/13,510.54
  6. Step 6: Final answer
    x = 8,579.13

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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.