Home / 10,229.48-14,106.66-6,497

Finding the Fourth Proportional to 10,229.48, 14,106.66 and 6,497

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Solution

The fourth proportional to 10,229.48, 14,106.66 and 6,497 is: 8,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.48 : 14,106.66 = 6,497 : x
  2. Step 2: Convert to fraction form
    10,229.48/14,106.66 = 6,497/x
  3. Step 3: Cross multiply
    10,229.48x = 14,106.66 × 6,497
  4. Step 4: Simplify right side
    10,229.48x = 91,650,970.02
  5. Step 5: Solve for x
    x = 91,650,970.02/10,229.48
  6. Step 6: Final answer
    x = 8,959.49

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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.