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Finding the Fourth Proportional to 15,644.60, 21,589 and 8,570.96

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Solution

The fourth proportional to 15,644.60, 21,589 and 8,570.96 is: 11,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.60 : 21,589 = 8,570.96 : x
  2. Step 2: Convert to fraction form
    15,644.60/21,589 = 8,570.96/x
  3. Step 3: Cross multiply
    15,644.60x = 21,589 × 8,570.96
  4. Step 4: Simplify right side
    15,644.60x = 185,038,455.44
  5. Step 5: Solve for x
    x = 185,038,455.44/15,644.60
  6. Step 6: Final answer
    x = 11,827.62

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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.