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Finding the Fourth Proportional to 17,688.40, 26,509.14 and 12,986.42

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Solution

The fourth proportional to 17,688.40, 26,509.14 and 12,986.42 is: 19,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.40 : 26,509.14 = 12,986.42 : x
  2. Step 2: Convert to fraction form
    17,688.40/26,509.14 = 12,986.42/x
  3. Step 3: Cross multiply
    17,688.40x = 26,509.14 × 12,986.42
  4. Step 4: Simplify right side
    17,688.40x = 344,258,825.88
  5. Step 5: Solve for x
    x = 344,258,825.88/17,688.40
  6. Step 6: Final answer
    x = 19,462.41

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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.