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Finding the Fourth Proportional to 21,990.48, 32,984.90 and 9,513.64

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Solution

The fourth proportional to 21,990.48, 32,984.90 and 9,513.64 is: 14,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,990.48 : 32,984.90 = 9,513.64 : x
  2. Step 2: Convert to fraction form
    21,990.48/32,984.90 = 9,513.64/x
  3. Step 3: Cross multiply
    21,990.48x = 32,984.90 × 9,513.64
  4. Step 4: Simplify right side
    21,990.48x = 313,806,464.04
  5. Step 5: Solve for x
    x = 313,806,464.04/21,990.48
  6. Step 6: Final answer
    x = 14,270.11

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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.