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Finding the Fourth Proportional to 12,970.62, 17,896.86 and 7,666.29

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Solution

The fourth proportional to 12,970.62, 17,896.86 and 7,666.29 is: 10,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.62 : 17,896.86 = 7,666.29 : x
  2. Step 2: Convert to fraction form
    12,970.62/17,896.86 = 7,666.29/x
  3. Step 3: Cross multiply
    12,970.62x = 17,896.86 × 7,666.29
  4. Step 4: Simplify right side
    12,970.62x = 137,202,518.85
  5. Step 5: Solve for x
    x = 137,202,518.85/12,970.62
  6. Step 6: Final answer
    x = 10,577.95

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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.