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Finding the Fourth Proportional to 10,446, 14,418.72 and 6,720

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Solution

The fourth proportional to 10,446, 14,418.72 and 6,720 is: 9,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446 : 14,418.72 = 6,720 : x
  2. Step 2: Convert to fraction form
    10,446/14,418.72 = 6,720/x
  3. Step 3: Cross multiply
    10,446x = 14,418.72 × 6,720
  4. Step 4: Simplify right side
    10,446x = 96,893,798.40
  5. Step 5: Solve for x
    x = 96,893,798.40/10,446
  6. Step 6: Final answer
    x = 9,275.68

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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.