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Finding the Fourth Proportional to 13,574.16, 20,347.03 and 5,681.20

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Solution

The fourth proportional to 13,574.16, 20,347.03 and 5,681.20 is: 8,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.16 : 20,347.03 = 5,681.20 : x
  2. Step 2: Convert to fraction form
    13,574.16/20,347.03 = 5,681.20/x
  3. Step 3: Cross multiply
    13,574.16x = 20,347.03 × 5,681.20
  4. Step 4: Simplify right side
    13,574.16x = 115,595,546.84
  5. Step 5: Solve for x
    x = 115,595,546.84/13,574.16
  6. Step 6: Final answer
    x = 8,515.85

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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.