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Finding the Fourth Proportional to 15,989.60, 23,990.16 and 7,217.84

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Solution

The fourth proportional to 15,989.60, 23,990.16 and 7,217.84 is: 10,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989.60 : 23,990.16 = 7,217.84 : x
  2. Step 2: Convert to fraction form
    15,989.60/23,990.16 = 7,217.84/x
  3. Step 3: Cross multiply
    15,989.60x = 23,990.16 × 7,217.84
  4. Step 4: Simplify right side
    15,989.60x = 173,157,136.45
  5. Step 5: Solve for x
    x = 173,157,136.45/15,989.60
  6. Step 6: Final answer
    x = 10,829.36

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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.