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Finding the Fourth Proportional to 10,907.34, 16,365.87 and 5,712

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Solution

The fourth proportional to 10,907.34, 16,365.87 and 5,712 is: 8,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.34 : 16,365.87 = 5,712 : x
  2. Step 2: Convert to fraction form
    10,907.34/16,365.87 = 5,712/x
  3. Step 3: Cross multiply
    10,907.34x = 16,365.87 × 5,712
  4. Step 4: Simplify right side
    10,907.34x = 93,481,849.44
  5. Step 5: Solve for x
    x = 93,481,849.44/10,907.34
  6. Step 6: Final answer
    x = 8,570.55

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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.