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Finding the Fourth Proportional to 12,697.60, 19,148.80 and 12,083.20

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Solution

The fourth proportional to 12,697.60, 19,148.80 and 12,083.20 is: 18,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.60 : 19,148.80 = 12,083.20 : x
  2. Step 2: Convert to fraction form
    12,697.60/19,148.80 = 12,083.20/x
  3. Step 3: Cross multiply
    12,697.60x = 19,148.80 × 12,083.20
  4. Step 4: Simplify right side
    12,697.60x = 231,378,780.16
  5. Step 5: Solve for x
    x = 231,378,780.16/12,697.60
  6. Step 6: Final answer
    x = 18,222.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.