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Finding the Fourth Proportional to 10,969.72, 15,136.86 and 6,989.20

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Solution

The fourth proportional to 10,969.72, 15,136.86 and 6,989.20 is: 9,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.72 : 15,136.86 = 6,989.20 : x
  2. Step 2: Convert to fraction form
    10,969.72/15,136.86 = 6,989.20/x
  3. Step 3: Cross multiply
    10,969.72x = 15,136.86 × 6,989.20
  4. Step 4: Simplify right side
    10,969.72x = 105,794,541.91
  5. Step 5: Solve for x
    x = 105,794,541.91/10,969.72
  6. Step 6: Final answer
    x = 9,644.23

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1.5x scale

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.