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Finding the Fourth Proportional to 8,429, 11,632.02 and 4,703

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Solution

The fourth proportional to 8,429, 11,632.02 and 4,703 is: 6,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429 : 11,632.02 = 4,703 : x
  2. Step 2: Convert to fraction form
    8,429/11,632.02 = 4,703/x
  3. Step 3: Cross multiply
    8,429x = 11,632.02 × 4,703
  4. Step 4: Simplify right side
    8,429x = 54,705,390.06
  5. Step 5: Solve for x
    x = 54,705,390.06/8,429
  6. Step 6: Final answer
    x = 6,490.14

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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.