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Finding the Fourth Proportional to 12,522.84, 18,771.28 and 7,832.08

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Solution

The fourth proportional to 12,522.84, 18,771.28 and 7,832.08 is: 11,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.84 : 18,771.28 = 7,832.08 : x
  2. Step 2: Convert to fraction form
    12,522.84/18,771.28 = 7,832.08/x
  3. Step 3: Cross multiply
    12,522.84x = 18,771.28 × 7,832.08
  4. Step 4: Simplify right side
    12,522.84x = 147,018,166.66
  5. Step 5: Solve for x
    x = 147,018,166.66/12,522.84
  6. Step 6: Final answer
    x = 11,740.00

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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.