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Finding the Fourth Proportional to 12,509.63, 18,769.88 and 7,840.34

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Solution

The fourth proportional to 12,509.63, 18,769.88 and 7,840.34 is: 11,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.63 : 18,769.88 = 7,840.34 : x
  2. Step 2: Convert to fraction form
    12,509.63/18,769.88 = 7,840.34/x
  3. Step 3: Cross multiply
    12,509.63x = 18,769.88 × 7,840.34
  4. Step 4: Simplify right side
    12,509.63x = 147,162,166.71
  5. Step 5: Solve for x
    x = 147,162,166.71/12,509.63
  6. Step 6: Final answer
    x = 11,763.92

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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.