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Finding the Fourth Proportional to 14,643.31, 20,209.22 and 8,356.63

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Solution

The fourth proportional to 14,643.31, 20,209.22 and 8,356.63 is: 11,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.31 : 20,209.22 = 8,356.63 : x
  2. Step 2: Convert to fraction form
    14,643.31/20,209.22 = 8,356.63/x
  3. Step 3: Cross multiply
    14,643.31x = 20,209.22 × 8,356.63
  4. Step 4: Simplify right side
    14,643.31x = 168,880,932.35
  5. Step 5: Solve for x
    x = 168,880,932.35/14,643.31
  6. Step 6: Final answer
    x = 11,532.98

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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.