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Finding the Fourth Proportional to 13,587, 20,350.35 and 10,443.87

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Solution

The fourth proportional to 13,587, 20,350.35 and 10,443.87 is: 15,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587 : 20,350.35 = 10,443.87 : x
  2. Step 2: Convert to fraction form
    13,587/20,350.35 = 10,443.87/x
  3. Step 3: Cross multiply
    13,587x = 20,350.35 × 10,443.87
  4. Step 4: Simplify right side
    13,587x = 212,536,409.85
  5. Step 5: Solve for x
    x = 212,536,409.85/13,587
  6. Step 6: Final answer
    x = 15,642.63

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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.