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Finding the Fourth Proportional to 13,980.70, 20,978.35 and 5,666.86

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Solution

The fourth proportional to 13,980.70, 20,978.35 and 5,666.86 is: 8,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.70 : 20,978.35 = 5,666.86 : x
  2. Step 2: Convert to fraction form
    13,980.70/20,978.35 = 5,666.86/x
  3. Step 3: Cross multiply
    13,980.70x = 20,978.35 × 5,666.86
  4. Step 4: Simplify right side
    13,980.70x = 118,881,372.48
  5. Step 5: Solve for x
    x = 118,881,372.48/13,980.70
  6. Step 6: Final answer
    x = 8,503.25

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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.