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Finding the Fourth Proportional to 11,225, 15,490.98 and 6,257

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Solution

The fourth proportional to 11,225, 15,490.98 and 6,257 is: 8,634.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225 : 15,490.98 = 6,257 : x
  2. Step 2: Convert to fraction form
    11,225/15,490.98 = 6,257/x
  3. Step 3: Cross multiply
    11,225x = 15,490.98 × 6,257
  4. Step 4: Simplify right side
    11,225x = 96,927,061.86
  5. Step 5: Solve for x
    x = 96,927,061.86/11,225
  6. Step 6: Final answer
    x = 8,634.93

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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.