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Finding the Fourth Proportional to 11,490, 15,856.20 and 6,522

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Solution

The fourth proportional to 11,490, 15,856.20 and 6,522 is: 9,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490 : 15,856.20 = 6,522 : x
  2. Step 2: Convert to fraction form
    11,490/15,856.20 = 6,522/x
  3. Step 3: Cross multiply
    11,490x = 15,856.20 × 6,522
  4. Step 4: Simplify right side
    11,490x = 103,414,136.40
  5. Step 5: Solve for x
    x = 103,414,136.40/11,490
  6. Step 6: Final answer
    x = 9,000.36

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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.