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Finding the Fourth Proportional to 13,656.76, 20,442.12 and 9,415.20

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Solution

The fourth proportional to 13,656.76, 20,442.12 and 9,415.20 is: 14,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.76 : 20,442.12 = 9,415.20 : x
  2. Step 2: Convert to fraction form
    13,656.76/20,442.12 = 9,415.20/x
  3. Step 3: Cross multiply
    13,656.76x = 20,442.12 × 9,415.20
  4. Step 4: Simplify right side
    13,656.76x = 192,466,648.22
  5. Step 5: Solve for x
    x = 192,466,648.22/13,656.76
  6. Step 6: Final answer
    x = 14,093.14

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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.