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Finding the Fourth Proportional to 10,509.84, 14,502 and 6,033.78

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Solution

The fourth proportional to 10,509.84, 14,502 and 6,033.78 is: 8,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.84 : 14,502 = 6,033.78 : x
  2. Step 2: Convert to fraction form
    10,509.84/14,502 = 6,033.78/x
  3. Step 3: Cross multiply
    10,509.84x = 14,502 × 6,033.78
  4. Step 4: Simplify right side
    10,509.84x = 87,501,877.56
  5. Step 5: Solve for x
    x = 87,501,877.56/10,509.84
  6. Step 6: Final answer
    x = 8,325.71

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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.