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Finding the Fourth Proportional to 10,622.08, 14,657.79 and 6,643

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Solution

The fourth proportional to 10,622.08, 14,657.79 and 6,643 is: 9,166.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.08 : 14,657.79 = 6,643 : x
  2. Step 2: Convert to fraction form
    10,622.08/14,657.79 = 6,643/x
  3. Step 3: Cross multiply
    10,622.08x = 14,657.79 × 6,643
  4. Step 4: Simplify right side
    10,622.08x = 97,371,698.97
  5. Step 5: Solve for x
    x = 97,371,698.97/10,622.08
  6. Step 6: Final answer
    x = 9,166.91

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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.