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Finding the Fourth Proportional to 8,499.60, 11,735.28 and 6,506.64

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Solution

The fourth proportional to 8,499.60, 11,735.28 and 6,506.64 is: 8,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.60 : 11,735.28 = 6,506.64 : x
  2. Step 2: Convert to fraction form
    8,499.60/11,735.28 = 6,506.64/x
  3. Step 3: Cross multiply
    8,499.60x = 11,735.28 × 6,506.64
  4. Step 4: Simplify right side
    8,499.60x = 76,357,242.26
  5. Step 5: Solve for x
    x = 76,357,242.26/8,499.60
  6. Step 6: Final answer
    x = 8,983.63

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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.