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Finding the Fourth Proportional to 13,657.56, 20,464.08 and 5,328.12

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Solution

The fourth proportional to 13,657.56, 20,464.08 and 5,328.12 is: 7,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.56 : 20,464.08 = 5,328.12 : x
  2. Step 2: Convert to fraction form
    13,657.56/20,464.08 = 5,328.12/x
  3. Step 3: Cross multiply
    13,657.56x = 20,464.08 × 5,328.12
  4. Step 4: Simplify right side
    13,657.56x = 109,035,073.93
  5. Step 5: Solve for x
    x = 109,035,073.93/13,657.56
  6. Step 6: Final answer
    x = 7,983.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.