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Finding the Fourth Proportional to 9,762.56, 13,474.32 and 6,619.76

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Solution

The fourth proportional to 9,762.56, 13,474.32 and 6,619.76 is: 9,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.56 : 13,474.32 = 6,619.76 : x
  2. Step 2: Convert to fraction form
    9,762.56/13,474.32 = 6,619.76/x
  3. Step 3: Cross multiply
    9,762.56x = 13,474.32 × 6,619.76
  4. Step 4: Simplify right side
    9,762.56x = 89,196,764.56
  5. Step 5: Solve for x
    x = 89,196,764.56/9,762.56
  6. Step 6: Final answer
    x = 9,136.62

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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.