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Finding the Fourth Proportional to 3,465.12, 4,784.52 and 2,287.88

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Solution

The fourth proportional to 3,465.12, 4,784.52 and 2,287.88 is: 3,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.12 : 4,784.52 = 2,287.88 : x
  2. Step 2: Convert to fraction form
    3,465.12/4,784.52 = 2,287.88/x
  3. Step 3: Cross multiply
    3,465.12x = 4,784.52 × 2,287.88
  4. Step 4: Simplify right side
    3,465.12x = 10,946,407.62
  5. Step 5: Solve for x
    x = 10,946,407.62/3,465.12
  6. Step 6: Final answer
    x = 3,159.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.