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Finding the Fourth Proportional to 14,139.12, 19,511.01 and 7,851

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Solution

The fourth proportional to 14,139.12, 19,511.01 and 7,851 is: 10,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.12 : 19,511.01 = 7,851 : x
  2. Step 2: Convert to fraction form
    14,139.12/19,511.01 = 7,851/x
  3. Step 3: Cross multiply
    14,139.12x = 19,511.01 × 7,851
  4. Step 4: Simplify right side
    14,139.12x = 153,180,939.51
  5. Step 5: Solve for x
    x = 153,180,939.51/14,139.12
  6. Step 6: Final answer
    x = 10,833.84

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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.