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Finding the Fourth Proportional to 7,301, 10,075.38 and 3,989

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Solution

The fourth proportional to 7,301, 10,075.38 and 3,989 is: 5,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301 : 10,075.38 = 3,989 : x
  2. Step 2: Convert to fraction form
    7,301/10,075.38 = 3,989/x
  3. Step 3: Cross multiply
    7,301x = 10,075.38 × 3,989
  4. Step 4: Simplify right side
    7,301x = 40,190,690.82
  5. Step 5: Solve for x
    x = 40,190,690.82/7,301
  6. Step 6: Final answer
    x = 5,504.82

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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.