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Finding the Fourth Proportional to 13,985.81, 20,978.76 and 5,220.59

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Solution

The fourth proportional to 13,985.81, 20,978.76 and 5,220.59 is: 7,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.81 : 20,978.76 = 5,220.59 : x
  2. Step 2: Convert to fraction form
    13,985.81/20,978.76 = 5,220.59/x
  3. Step 3: Cross multiply
    13,985.81x = 20,978.76 × 5,220.59
  4. Step 4: Simplify right side
    13,985.81x = 109,521,504.67
  5. Step 5: Solve for x
    x = 109,521,504.67/13,985.81
  6. Step 6: Final answer
    x = 7,830.90

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1.5x scale

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.