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Finding the Fourth Proportional to 15,693.60, 21,657.64 and 8,620

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Solution

The fourth proportional to 15,693.60, 21,657.64 and 8,620 is: 11,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.60 : 21,657.64 = 8,620 : x
  2. Step 2: Convert to fraction form
    15,693.60/21,657.64 = 8,620/x
  3. Step 3: Cross multiply
    15,693.60x = 21,657.64 × 8,620
  4. Step 4: Simplify right side
    15,693.60x = 186,688,856.80
  5. Step 5: Solve for x
    x = 186,688,856.80/15,693.60
  6. Step 6: Final answer
    x = 11,895.86

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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.