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Finding the Fourth Proportional to 3,675.94, 5,070 and 2,556.88

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Solution

The fourth proportional to 3,675.94, 5,070 and 2,556.88 is: 3,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.94 : 5,070 = 2,556.88 : x
  2. Step 2: Convert to fraction form
    3,675.94/5,070 = 2,556.88/x
  3. Step 3: Cross multiply
    3,675.94x = 5,070 × 2,556.88
  4. Step 4: Simplify right side
    3,675.94x = 12,963,381.60
  5. Step 5: Solve for x
    x = 12,963,381.60/3,675.94
  6. Step 6: Final answer
    x = 3,526.55

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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.