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Finding the Fourth Proportional to 10,290, 14,203.44 and 6,564

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Solution

The fourth proportional to 10,290, 14,203.44 and 6,564 is: 9,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290 : 14,203.44 = 6,564 : x
  2. Step 2: Convert to fraction form
    10,290/14,203.44 = 6,564/x
  3. Step 3: Cross multiply
    10,290x = 14,203.44 × 6,564
  4. Step 4: Simplify right side
    10,290x = 93,231,380.16
  5. Step 5: Solve for x
    x = 93,231,380.16/10,290
  6. Step 6: Final answer
    x = 9,060.39

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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.