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Finding the Fourth Proportional to 14,742.59, 20,345.12 and 8,028.59

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Solution

The fourth proportional to 14,742.59, 20,345.12 and 8,028.59 is: 11,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.59 : 20,345.12 = 8,028.59 : x
  2. Step 2: Convert to fraction form
    14,742.59/20,345.12 = 8,028.59/x
  3. Step 3: Cross multiply
    14,742.59x = 20,345.12 × 8,028.59
  4. Step 4: Simplify right side
    14,742.59x = 163,342,485.11
  5. Step 5: Solve for x
    x = 163,342,485.11/14,742.59
  6. Step 6: Final answer
    x = 11,079.64

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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.