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Finding the Fourth Proportional to 10,905, 15,048.92 and 5,937

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Solution

The fourth proportional to 10,905, 15,048.92 and 5,937 is: 8,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905 : 15,048.92 = 5,937 : x
  2. Step 2: Convert to fraction form
    10,905/15,048.92 = 5,937/x
  3. Step 3: Cross multiply
    10,905x = 15,048.92 × 5,937
  4. Step 4: Simplify right side
    10,905x = 89,345,438.04
  5. Step 5: Solve for x
    x = 89,345,438.04/10,905
  6. Step 6: Final answer
    x = 8,193.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.