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Finding the Fourth Proportional to 2,794.55, 4,191.62 and 714.47

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Solution

The fourth proportional to 2,794.55, 4,191.62 and 714.47 is: 1,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.55 : 4,191.62 = 714.47 : x
  2. Step 2: Convert to fraction form
    2,794.55/4,191.62 = 714.47/x
  3. Step 3: Cross multiply
    2,794.55x = 4,191.62 × 714.47
  4. Step 4: Simplify right side
    2,794.55x = 2,994,762.21
  5. Step 5: Solve for x
    x = 2,994,762.21/2,794.55
  6. Step 6: Final answer
    x = 1,071.65

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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.