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Finding the Fourth Proportional to 10,390, 14,338.20 and 6,664

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Solution

The fourth proportional to 10,390, 14,338.20 and 6,664 is: 9,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390 : 14,338.20 = 6,664 : x
  2. Step 2: Convert to fraction form
    10,390/14,338.20 = 6,664/x
  3. Step 3: Cross multiply
    10,390x = 14,338.20 × 6,664
  4. Step 4: Simplify right side
    10,390x = 95,549,764.80
  5. Step 5: Solve for x
    x = 95,549,764.80/10,390
  6. Step 6: Final answer
    x = 9,196.32

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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.