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Finding the Fourth Proportional to 7,486.64, 11,216.16 and 6,261.92

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Solution

The fourth proportional to 7,486.64, 11,216.16 and 6,261.92 is: 9,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.64 : 11,216.16 = 6,261.92 : x
  2. Step 2: Convert to fraction form
    7,486.64/11,216.16 = 6,261.92/x
  3. Step 3: Cross multiply
    7,486.64x = 11,216.16 × 6,261.92
  4. Step 4: Simplify right side
    7,486.64x = 70,234,696.63
  5. Step 5: Solve for x
    x = 70,234,696.63/7,486.64
  6. Step 6: Final answer
    x = 9,381.34

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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.