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Finding the Fourth Proportional to 2,894.69, 4,342.02 and 703.42

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Solution

The fourth proportional to 2,894.69, 4,342.02 and 703.42 is: 1,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.69 : 4,342.02 = 703.42 : x
  2. Step 2: Convert to fraction form
    2,894.69/4,342.02 = 703.42/x
  3. Step 3: Cross multiply
    2,894.69x = 4,342.02 × 703.42
  4. Step 4: Simplify right side
    2,894.69x = 3,054,263.78
  5. Step 5: Solve for x
    x = 3,054,263.78/2,894.69
  6. Step 6: Final answer
    x = 1,055.13

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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.