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Finding the Fourth Proportional to 9,929.68, 14,903.70 and 4,086.70

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Solution

The fourth proportional to 9,929.68, 14,903.70 and 4,086.70 is: 6,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.68 : 14,903.70 = 4,086.70 : x
  2. Step 2: Convert to fraction form
    9,929.68/14,903.70 = 4,086.70/x
  3. Step 3: Cross multiply
    9,929.68x = 14,903.70 × 4,086.70
  4. Step 4: Simplify right side
    9,929.68x = 60,906,950.79
  5. Step 5: Solve for x
    x = 60,906,950.79/9,929.68
  6. Step 6: Final answer
    x = 6,133.83

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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.