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Finding the Fourth Proportional to 28,509.36, 42,764.03 and 12,710.31

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Solution

The fourth proportional to 28,509.36, 42,764.03 and 12,710.31 is: 19,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.36 : 42,764.03 = 12,710.31 : x
  2. Step 2: Convert to fraction form
    28,509.36/42,764.03 = 12,710.31/x
  3. Step 3: Cross multiply
    28,509.36x = 42,764.03 × 12,710.31
  4. Step 4: Simplify right side
    28,509.36x = 543,544,078.15
  5. Step 5: Solve for x
    x = 543,544,078.15/28,509.36
  6. Step 6: Final answer
    x = 19,065.46

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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.