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Finding the Fourth Proportional to 12,602.16, 18,910.56 and 6,980.40

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Solution

The fourth proportional to 12,602.16, 18,910.56 and 6,980.40 is: 10,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.16 : 18,910.56 = 6,980.40 : x
  2. Step 2: Convert to fraction form
    12,602.16/18,910.56 = 6,980.40/x
  3. Step 3: Cross multiply
    12,602.16x = 18,910.56 × 6,980.40
  4. Step 4: Simplify right side
    12,602.16x = 132,003,273.02
  5. Step 5: Solve for x
    x = 132,003,273.02/12,602.16
  6. Step 6: Final answer
    x = 10,474.65

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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.