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Finding the Fourth Proportional to 12,483.88, 18,731.94 and 7,802.68

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Solution

The fourth proportional to 12,483.88, 18,731.94 and 7,802.68 is: 11,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.88 : 18,731.94 = 7,802.68 : x
  2. Step 2: Convert to fraction form
    12,483.88/18,731.94 = 7,802.68/x
  3. Step 3: Cross multiply
    12,483.88x = 18,731.94 × 7,802.68
  4. Step 4: Simplify right side
    12,483.88x = 146,159,333.60
  5. Step 5: Solve for x
    x = 146,159,333.60/12,483.88
  6. Step 6: Final answer
    x = 11,707.85

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1.5x scale

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.