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Finding the Fourth Proportional to 7,392, 10,200.95 and 4,739.40

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Solution

The fourth proportional to 7,392, 10,200.95 and 4,739.40 is: 6,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392 : 10,200.95 = 4,739.40 : x
  2. Step 2: Convert to fraction form
    7,392/10,200.95 = 4,739.40/x
  3. Step 3: Cross multiply
    7,392x = 10,200.95 × 4,739.40
  4. Step 4: Simplify right side
    7,392x = 48,346,382.43
  5. Step 5: Solve for x
    x = 48,346,382.43/7,392
  6. Step 6: Final answer
    x = 6,540.37

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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.