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Finding the Fourth Proportional to 23,405.78, 35,113.54 and 7,823

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Solution

The fourth proportional to 23,405.78, 35,113.54 and 7,823 is: 11,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.78 : 35,113.54 = 7,823 : x
  2. Step 2: Convert to fraction form
    23,405.78/35,113.54 = 7,823/x
  3. Step 3: Cross multiply
    23,405.78x = 35,113.54 × 7,823
  4. Step 4: Simplify right side
    23,405.78x = 274,693,223.42
  5. Step 5: Solve for x
    x = 274,693,223.42/23,405.78
  6. Step 6: Final answer
    x = 11,736.13

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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.