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Finding the Fourth Proportional to 13,985, 20,973.66 and 5,223.40

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Solution

The fourth proportional to 13,985, 20,973.66 and 5,223.40 is: 7,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985 : 20,973.66 = 5,223.40 : x
  2. Step 2: Convert to fraction form
    13,985/20,973.66 = 5,223.40/x
  3. Step 3: Cross multiply
    13,985x = 20,973.66 × 5,223.40
  4. Step 4: Simplify right side
    13,985x = 109,553,815.64
  5. Step 5: Solve for x
    x = 109,553,815.64/13,985
  6. Step 6: Final answer
    x = 7,833.67

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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.