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Finding the Fourth Proportional to 7,188.53, 10,782.80 and 4,558.66

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Solution

The fourth proportional to 7,188.53, 10,782.80 and 4,558.66 is: 6,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.53 : 10,782.80 = 4,558.66 : x
  2. Step 2: Convert to fraction form
    7,188.53/10,782.80 = 4,558.66/x
  3. Step 3: Cross multiply
    7,188.53x = 10,782.80 × 4,558.66
  4. Step 4: Simplify right side
    7,188.53x = 49,155,096.25
  5. Step 5: Solve for x
    x = 49,155,096.25/7,188.53
  6. Step 6: Final answer
    x = 6,837.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.