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Finding the Fourth Proportional to 9,818.02, 14,721.80 and 5,126.68

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Solution

The fourth proportional to 9,818.02, 14,721.80 and 5,126.68 is: 7,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.02 : 14,721.80 = 5,126.68 : x
  2. Step 2: Convert to fraction form
    9,818.02/14,721.80 = 5,126.68/x
  3. Step 3: Cross multiply
    9,818.02x = 14,721.80 × 5,126.68
  4. Step 4: Simplify right side
    9,818.02x = 75,473,950.39
  5. Step 5: Solve for x
    x = 75,473,950.39/9,818.02
  6. Step 6: Final answer
    x = 7,687.29

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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.