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Finding the Fourth Proportional to 7,525, 10,381.24 and 4,539.18

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Solution

The fourth proportional to 7,525, 10,381.24 and 4,539.18 is: 6,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525 : 10,381.24 = 4,539.18 : x
  2. Step 2: Convert to fraction form
    7,525/10,381.24 = 4,539.18/x
  3. Step 3: Cross multiply
    7,525x = 10,381.24 × 4,539.18
  4. Step 4: Simplify right side
    7,525x = 47,122,316.98
  5. Step 5: Solve for x
    x = 47,122,316.98/7,525
  6. Step 6: Final answer
    x = 6,262.10

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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.