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Finding the Fourth Proportional to 10,965, 15,136.56 and 7,193.64

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Solution

The fourth proportional to 10,965, 15,136.56 and 7,193.64 is: 9,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 15,136.56 = 7,193.64 : x
  2. Step 2: Convert to fraction form
    10,965/15,136.56 = 7,193.64/x
  3. Step 3: Cross multiply
    10,965x = 15,136.56 × 7,193.64
  4. Step 4: Simplify right side
    10,965x = 108,886,963.48
  5. Step 5: Solve for x
    x = 108,886,963.48/10,965
  6. Step 6: Final answer
    x = 9,930.41

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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.