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Finding the Fourth Proportional to 10,642, 14,689.62 and 6,450.25

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Solution

The fourth proportional to 10,642, 14,689.62 and 6,450.25 is: 8,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642 : 14,689.62 = 6,450.25 : x
  2. Step 2: Convert to fraction form
    10,642/14,689.62 = 6,450.25/x
  3. Step 3: Cross multiply
    10,642x = 14,689.62 × 6,450.25
  4. Step 4: Simplify right side
    10,642x = 94,751,721.41
  5. Step 5: Solve for x
    x = 94,751,721.41/10,642
  6. Step 6: Final answer
    x = 8,903.56

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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.