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Finding the Fourth Proportional to 12,710.40, 19,051.92 and 5,309.28

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Solution

The fourth proportional to 12,710.40, 19,051.92 and 5,309.28 is: 7,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.40 : 19,051.92 = 5,309.28 : x
  2. Step 2: Convert to fraction form
    12,710.40/19,051.92 = 5,309.28/x
  3. Step 3: Cross multiply
    12,710.40x = 19,051.92 × 5,309.28
  4. Step 4: Simplify right side
    12,710.40x = 101,151,977.82
  5. Step 5: Solve for x
    x = 101,151,977.82/12,710.40
  6. Step 6: Final answer
    x = 7,958.21

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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.