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Finding the Fourth Proportional to 20,881.68, 31,302.54 and 7,730.52

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Solution

The fourth proportional to 20,881.68, 31,302.54 and 7,730.52 is: 11,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.68 : 31,302.54 = 7,730.52 : x
  2. Step 2: Convert to fraction form
    20,881.68/31,302.54 = 7,730.52/x
  3. Step 3: Cross multiply
    20,881.68x = 31,302.54 × 7,730.52
  4. Step 4: Simplify right side
    20,881.68x = 241,984,911.52
  5. Step 5: Solve for x
    x = 241,984,911.52/20,881.68
  6. Step 6: Final answer
    x = 11,588.38

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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.