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Finding the Fourth Proportional to 12,686.24, 17,490.23 and 10,409.24

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Solution

The fourth proportional to 12,686.24, 17,490.23 and 10,409.24 is: 14,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.24 : 17,490.23 = 10,409.24 : x
  2. Step 2: Convert to fraction form
    12,686.24/17,490.23 = 10,409.24/x
  3. Step 3: Cross multiply
    12,686.24x = 17,490.23 × 10,409.24
  4. Step 4: Simplify right side
    12,686.24x = 182,060,001.73
  5. Step 5: Solve for x
    x = 182,060,001.73/12,686.24
  6. Step 6: Final answer
    x = 14,350.98

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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.