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Finding the Fourth Proportional to 14,038, 19,371.52 and 7,750.32

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Solution

The fourth proportional to 14,038, 19,371.52 and 7,750.32 is: 10,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038 : 19,371.52 = 7,750.32 : x
  2. Step 2: Convert to fraction form
    14,038/19,371.52 = 7,750.32/x
  3. Step 3: Cross multiply
    14,038x = 19,371.52 × 7,750.32
  4. Step 4: Simplify right side
    14,038x = 150,135,478.89
  5. Step 5: Solve for x
    x = 150,135,478.89/14,038
  6. Step 6: Final answer
    x = 10,694.93

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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.