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Finding the Fourth Proportional to 10,447, 14,420.10 and 6,721

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Solution

The fourth proportional to 10,447, 14,420.10 and 6,721 is: 9,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447 : 14,420.10 = 6,721 : x
  2. Step 2: Convert to fraction form
    10,447/14,420.10 = 6,721/x
  3. Step 3: Cross multiply
    10,447x = 14,420.10 × 6,721
  4. Step 4: Simplify right side
    10,447x = 96,917,492.10
  5. Step 5: Solve for x
    x = 96,917,492.10/10,447
  6. Step 6: Final answer
    x = 9,277.06

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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.