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Finding the Fourth Proportional to 21,989.48, 32,983.74 and 5,349.62

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Solution

The fourth proportional to 21,989.48, 32,983.74 and 5,349.62 is: 8,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.48 : 32,983.74 = 5,349.62 : x
  2. Step 2: Convert to fraction form
    21,989.48/32,983.74 = 5,349.62/x
  3. Step 3: Cross multiply
    21,989.48x = 32,983.74 × 5,349.62
  4. Step 4: Simplify right side
    21,989.48x = 176,450,475.18
  5. Step 5: Solve for x
    x = 176,450,475.18/21,989.48
  6. Step 6: Final answer
    x = 8,024.31

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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.