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Finding the Fourth Proportional to 15,719.64, 21,693.79 and 8,646.32

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Solution

The fourth proportional to 15,719.64, 21,693.79 and 8,646.32 is: 11,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.64 : 21,693.79 = 8,646.32 : x
  2. Step 2: Convert to fraction form
    15,719.64/21,693.79 = 8,646.32/x
  3. Step 3: Cross multiply
    15,719.64x = 21,693.79 × 8,646.32
  4. Step 4: Simplify right side
    15,719.64x = 187,571,450.35
  5. Step 5: Solve for x
    x = 187,571,450.35/15,719.64
  6. Step 6: Final answer
    x = 11,932.30

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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.