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Finding the Fourth Proportional to 5,137.64, 7,087.64 and 4,075.82

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Solution

The fourth proportional to 5,137.64, 7,087.64 and 4,075.82 is: 5,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.64 : 7,087.64 = 4,075.82 : x
  2. Step 2: Convert to fraction form
    5,137.64/7,087.64 = 4,075.82/x
  3. Step 3: Cross multiply
    5,137.64x = 7,087.64 × 4,075.82
  4. Step 4: Simplify right side
    5,137.64x = 28,887,944.86
  5. Step 5: Solve for x
    x = 28,887,944.86/5,137.64
  6. Step 6: Final answer
    x = 5,622.80

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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.