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Finding the Fourth Proportional to 13,657.76, 18,849.12 and 8,356.10

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Solution

The fourth proportional to 13,657.76, 18,849.12 and 8,356.10 is: 11,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.76 : 18,849.12 = 8,356.10 : x
  2. Step 2: Convert to fraction form
    13,657.76/18,849.12 = 8,356.10/x
  3. Step 3: Cross multiply
    13,657.76x = 18,849.12 × 8,356.10
  4. Step 4: Simplify right side
    13,657.76x = 157,505,131.63
  5. Step 5: Solve for x
    x = 157,505,131.63/13,657.76
  6. Step 6: Final answer
    x = 11,532.28

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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.