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Finding the Fourth Proportional to 13,585.96, 20,378.94 and 6,656.68

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Solution

The fourth proportional to 13,585.96, 20,378.94 and 6,656.68 is: 9,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.96 : 20,378.94 = 6,656.68 : x
  2. Step 2: Convert to fraction form
    13,585.96/20,378.94 = 6,656.68/x
  3. Step 3: Cross multiply
    13,585.96x = 20,378.94 × 6,656.68
  4. Step 4: Simplify right side
    13,585.96x = 135,656,082.32
  5. Step 5: Solve for x
    x = 135,656,082.32/13,585.96
  6. Step 6: Final answer
    x = 9,985.02

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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.