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Finding the Fourth Proportional to 10,592, 15,893.76 and 5,120

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Solution

The fourth proportional to 10,592, 15,893.76 and 5,120 is: 7,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592 : 15,893.76 = 5,120 : x
  2. Step 2: Convert to fraction form
    10,592/15,893.76 = 5,120/x
  3. Step 3: Cross multiply
    10,592x = 15,893.76 × 5,120
  4. Step 4: Simplify right side
    10,592x = 81,376,051.20
  5. Step 5: Solve for x
    x = 81,376,051.20/10,592
  6. Step 6: Final answer
    x = 7,682.78

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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.