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Finding the Fourth Proportional to 5,625.76, 7,763.76 and 3,142.24

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Solution

The fourth proportional to 5,625.76, 7,763.76 and 3,142.24 is: 4,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.76 : 7,763.76 = 3,142.24 : x
  2. Step 2: Convert to fraction form
    5,625.76/7,763.76 = 3,142.24/x
  3. Step 3: Cross multiply
    5,625.76x = 7,763.76 × 3,142.24
  4. Step 4: Simplify right side
    5,625.76x = 24,395,597.22
  5. Step 5: Solve for x
    x = 24,395,597.22/5,625.76
  6. Step 6: Final answer
    x = 4,336.41

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1.5x scale

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.