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Finding the Fourth Proportional to 15,509.56, 21,403 and 8,435.99

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Solution

The fourth proportional to 15,509.56, 21,403 and 8,435.99 is: 11,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.56 : 21,403 = 8,435.99 : x
  2. Step 2: Convert to fraction form
    15,509.56/21,403 = 8,435.99/x
  3. Step 3: Cross multiply
    15,509.56x = 21,403 × 8,435.99
  4. Step 4: Simplify right side
    15,509.56x = 180,555,493.97
  5. Step 5: Solve for x
    x = 180,555,493.97/15,509.56
  6. Step 6: Final answer
    x = 11,641.56

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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.