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Finding the Fourth Proportional to 10,695.69, 14,756.76 and 6,218.64

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Solution

The fourth proportional to 10,695.69, 14,756.76 and 6,218.64 is: 8,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.69 : 14,756.76 = 6,218.64 : x
  2. Step 2: Convert to fraction form
    10,695.69/14,756.76 = 6,218.64/x
  3. Step 3: Cross multiply
    10,695.69x = 14,756.76 × 6,218.64
  4. Step 4: Simplify right side
    10,695.69x = 91,766,978.01
  5. Step 5: Solve for x
    x = 91,766,978.01/10,695.69
  6. Step 6: Final answer
    x = 8,579.81

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1.5x scale

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.