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Finding the Fourth Proportional to 21,968.12, 32,957.62 and 6,385.88

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Solution

The fourth proportional to 21,968.12, 32,957.62 and 6,385.88 is: 9,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,968.12 : 32,957.62 = 6,385.88 : x
  2. Step 2: Convert to fraction form
    21,968.12/32,957.62 = 6,385.88/x
  3. Step 3: Cross multiply
    21,968.12x = 32,957.62 × 6,385.88
  4. Step 4: Simplify right side
    21,968.12x = 210,463,406.41
  5. Step 5: Solve for x
    x = 210,463,406.41/21,968.12
  6. Step 6: Final answer
    x = 9,580.40

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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.