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Finding the Fourth Proportional to 21,984.84, 32,978.40 and 6,403.68

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Solution

The fourth proportional to 21,984.84, 32,978.40 and 6,403.68 is: 9,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.84 : 32,978.40 = 6,403.68 : x
  2. Step 2: Convert to fraction form
    21,984.84/32,978.40 = 6,403.68/x
  3. Step 3: Cross multiply
    21,984.84x = 32,978.40 × 6,403.68
  4. Step 4: Simplify right side
    21,984.84x = 211,183,120.51
  5. Step 5: Solve for x
    x = 211,183,120.51/21,984.84
  6. Step 6: Final answer
    x = 9,605.85

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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.