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Finding the Fourth Proportional to 15,978.60, 23,913.18 and 13,171.56

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Solution

The fourth proportional to 15,978.60, 23,913.18 and 13,171.56 is: 19,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.60 : 23,913.18 = 13,171.56 : x
  2. Step 2: Convert to fraction form
    15,978.60/23,913.18 = 13,171.56/x
  3. Step 3: Cross multiply
    15,978.60x = 23,913.18 × 13,171.56
  4. Step 4: Simplify right side
    15,978.60x = 314,973,885.16
  5. Step 5: Solve for x
    x = 314,973,885.16/15,978.60
  6. Step 6: Final answer
    x = 19,712.23

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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.