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Finding the Fourth Proportional to 15,204.64, 20,972.94 and 9,230.48

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Solution

The fourth proportional to 15,204.64, 20,972.94 and 9,230.48 is: 12,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.64 : 20,972.94 = 9,230.48 : x
  2. Step 2: Convert to fraction form
    15,204.64/20,972.94 = 9,230.48/x
  3. Step 3: Cross multiply
    15,204.64x = 20,972.94 × 9,230.48
  4. Step 4: Simplify right side
    15,204.64x = 193,590,303.21
  5. Step 5: Solve for x
    x = 193,590,303.21/15,204.64
  6. Step 6: Final answer
    x = 12,732.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.