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Finding the Fourth Proportional to 10,646.69, 15,964.74 and 6,205.86

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Solution

The fourth proportional to 10,646.69, 15,964.74 and 6,205.86 is: 9,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.69 : 15,964.74 = 6,205.86 : x
  2. Step 2: Convert to fraction form
    10,646.69/15,964.74 = 6,205.86/x
  3. Step 3: Cross multiply
    10,646.69x = 15,964.74 × 6,205.86
  4. Step 4: Simplify right side
    10,646.69x = 99,074,941.38
  5. Step 5: Solve for x
    x = 99,074,941.38/10,646.69
  6. Step 6: Final answer
    x = 9,305.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.