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Finding the Fourth Proportional to 11,464.64, 15,824.00 and 6,990.84

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Solution

The fourth proportional to 11,464.64, 15,824.00 and 6,990.84 is: 9,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.64 : 15,824.00 = 6,990.84 : x
  2. Step 2: Convert to fraction form
    11,464.64/15,824.00 = 6,990.84/x
  3. Step 3: Cross multiply
    11,464.64x = 15,824.00 × 6,990.84
  4. Step 4: Simplify right side
    11,464.64x = 110,623,017.21
  5. Step 5: Solve for x
    x = 110,623,017.21/11,464.64
  6. Step 6: Final answer
    x = 9,649.07

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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.