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Finding the Fourth Proportional to 12,490, 17,237.46 and 6,901

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Solution

The fourth proportional to 12,490, 17,237.46 and 6,901 is: 9,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490 : 17,237.46 = 6,901 : x
  2. Step 2: Convert to fraction form
    12,490/17,237.46 = 6,901/x
  3. Step 3: Cross multiply
    12,490x = 17,237.46 × 6,901
  4. Step 4: Simplify right side
    12,490x = 118,955,711.46
  5. Step 5: Solve for x
    x = 118,955,711.46/12,490
  6. Step 6: Final answer
    x = 9,524.08

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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.