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Finding the Fourth Proportional to 10,720.64, 16,085.12 and 8,659.84

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Solution

The fourth proportional to 10,720.64, 16,085.12 and 8,659.84 is: 12,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.64 : 16,085.12 = 8,659.84 : x
  2. Step 2: Convert to fraction form
    10,720.64/16,085.12 = 8,659.84/x
  3. Step 3: Cross multiply
    10,720.64x = 16,085.12 × 8,659.84
  4. Step 4: Simplify right side
    10,720.64x = 139,294,565.58
  5. Step 5: Solve for x
    x = 139,294,565.58/10,720.64
  6. Step 6: Final answer
    x = 12,993.12

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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.