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Finding the Fourth Proportional to 10,830.42, 14,929.65 and 8,468.46

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Solution

The fourth proportional to 10,830.42, 14,929.65 and 8,468.46 is: 11,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.42 : 14,929.65 = 8,468.46 : x
  2. Step 2: Convert to fraction form
    10,830.42/14,929.65 = 8,468.46/x
  3. Step 3: Cross multiply
    10,830.42x = 14,929.65 × 8,468.46
  4. Step 4: Simplify right side
    10,830.42x = 126,431,143.84
  5. Step 5: Solve for x
    x = 126,431,143.84/10,830.42
  6. Step 6: Final answer
    x = 11,673.71

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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.