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Finding the Fourth Proportional to 12,636.54, 17,437.59 and 6,971.40

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Solution

The fourth proportional to 12,636.54, 17,437.59 and 6,971.40 is: 9,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.54 : 17,437.59 = 6,971.40 : x
  2. Step 2: Convert to fraction form
    12,636.54/17,437.59 = 6,971.40/x
  3. Step 3: Cross multiply
    12,636.54x = 17,437.59 × 6,971.40
  4. Step 4: Simplify right side
    12,636.54x = 121,564,414.93
  5. Step 5: Solve for x
    x = 121,564,414.93/12,636.54
  6. Step 6: Final answer
    x = 9,620.07

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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.