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Finding the Fourth Proportional to 15,813.57, 21,822.80 and 8,643.63

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Solution

The fourth proportional to 15,813.57, 21,822.80 and 8,643.63 is: 11,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.57 : 21,822.80 = 8,643.63 : x
  2. Step 2: Convert to fraction form
    15,813.57/21,822.80 = 8,643.63/x
  3. Step 3: Cross multiply
    15,813.57x = 21,822.80 × 8,643.63
  4. Step 4: Simplify right side
    15,813.57x = 188,628,230.91
  5. Step 5: Solve for x
    x = 188,628,230.91/15,813.57
  6. Step 6: Final answer
    x = 11,928.25

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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.