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Finding the Fourth Proportional to 13,583.80, 20,373.97 and 5,258.12

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Solution

The fourth proportional to 13,583.80, 20,373.97 and 5,258.12 is: 7,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.80 : 20,373.97 = 5,258.12 : x
  2. Step 2: Convert to fraction form
    13,583.80/20,373.97 = 5,258.12/x
  3. Step 3: Cross multiply
    13,583.80x = 20,373.97 × 5,258.12
  4. Step 4: Simplify right side
    13,583.80x = 107,128,740.52
  5. Step 5: Solve for x
    x = 107,128,740.52/13,583.80
  6. Step 6: Final answer
    x = 7,886.51

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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.