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Finding the Fourth Proportional to 13,984.84, 20,978.24 and 4,624.48

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Solution

The fourth proportional to 13,984.84, 20,978.24 and 4,624.48 is: 6,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.84 : 20,978.24 = 4,624.48 : x
  2. Step 2: Convert to fraction form
    13,984.84/20,978.24 = 4,624.48/x
  3. Step 3: Cross multiply
    13,984.84x = 20,978.24 × 4,624.48
  4. Step 4: Simplify right side
    13,984.84x = 97,013,451.32
  5. Step 5: Solve for x
    x = 97,013,451.32/13,984.84
  6. Step 6: Final answer
    x = 6,937.04

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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.