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Finding the Fourth Proportional to 13,985.94, 20,978.97 and 5,666.12

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Solution

The fourth proportional to 13,985.94, 20,978.97 and 5,666.12 is: 8,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.94 : 20,978.97 = 5,666.12 : x
  2. Step 2: Convert to fraction form
    13,985.94/20,978.97 = 5,666.12/x
  3. Step 3: Cross multiply
    13,985.94x = 20,978.97 × 5,666.12
  4. Step 4: Simplify right side
    13,985.94x = 118,869,361.50
  5. Step 5: Solve for x
    x = 118,869,361.50/13,985.94
  6. Step 6: Final answer
    x = 8,499.20

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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.