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Finding the Fourth Proportional to 10,477.14, 15,721.05 and 6,969.62

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Solution

The fourth proportional to 10,477.14, 15,721.05 and 6,969.62 is: 10,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.14 : 15,721.05 = 6,969.62 : x
  2. Step 2: Convert to fraction form
    10,477.14/15,721.05 = 6,969.62/x
  3. Step 3: Cross multiply
    10,477.14x = 15,721.05 × 6,969.62
  4. Step 4: Simplify right side
    10,477.14x = 109,569,665.90
  5. Step 5: Solve for x
    x = 109,569,665.90/10,477.14
  6. Step 6: Final answer
    x = 10,457.97

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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.