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Finding the Fourth Proportional to 7,518.56, 10,378.54 and 6,731.24

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Solution

The fourth proportional to 7,518.56, 10,378.54 and 6,731.24 is: 9,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518.56 : 10,378.54 = 6,731.24 : x
  2. Step 2: Convert to fraction form
    7,518.56/10,378.54 = 6,731.24/x
  3. Step 3: Cross multiply
    7,518.56x = 10,378.54 × 6,731.24
  4. Step 4: Simplify right side
    7,518.56x = 69,860,443.59
  5. Step 5: Solve for x
    x = 69,860,443.59/7,518.56
  6. Step 6: Final answer
    x = 9,291.73

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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.