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Finding the Fourth Proportional to 10,506.65, 15,743.53 and 8,940.21

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Solution

The fourth proportional to 10,506.65, 15,743.53 and 8,940.21 is: 13,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.65 : 15,743.53 = 8,940.21 : x
  2. Step 2: Convert to fraction form
    10,506.65/15,743.53 = 8,940.21/x
  3. Step 3: Cross multiply
    10,506.65x = 15,743.53 × 8,940.21
  4. Step 4: Simplify right side
    10,506.65x = 140,750,416.48
  5. Step 5: Solve for x
    x = 140,750,416.48/10,506.65
  6. Step 6: Final answer
    x = 13,396.32

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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.