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Finding the Fourth Proportional to 5,075.36, 6,990 and 4,712.48

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Solution

The fourth proportional to 5,075.36, 6,990 and 4,712.48 is: 6,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.36 : 6,990 = 4,712.48 : x
  2. Step 2: Convert to fraction form
    5,075.36/6,990 = 4,712.48/x
  3. Step 3: Cross multiply
    5,075.36x = 6,990 × 4,712.48
  4. Step 4: Simplify right side
    5,075.36x = 32,940,235.20
  5. Step 5: Solve for x
    x = 32,940,235.20/5,075.36
  6. Step 6: Final answer
    x = 6,490.23

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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.