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Finding the Fourth Proportional to 2,904.12, 4,356 and 852.12

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Solution

The fourth proportional to 2,904.12, 4,356 and 852.12 is: 1,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.12 : 4,356 = 852.12 : x
  2. Step 2: Convert to fraction form
    2,904.12/4,356 = 852.12/x
  3. Step 3: Cross multiply
    2,904.12x = 4,356 × 852.12
  4. Step 4: Simplify right side
    2,904.12x = 3,711,834.72
  5. Step 5: Solve for x
    x = 3,711,834.72/2,904.12
  6. Step 6: Final answer
    x = 1,278.13

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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.