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Finding the Fourth Proportional to 10,490.54, 15,735.81 and 7,193.64

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Solution

The fourth proportional to 10,490.54, 15,735.81 and 7,193.64 is: 10,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.54 : 15,735.81 = 7,193.64 : x
  2. Step 2: Convert to fraction form
    10,490.54/15,735.81 = 7,193.64/x
  3. Step 3: Cross multiply
    10,490.54x = 15,735.81 × 7,193.64
  4. Step 4: Simplify right side
    10,490.54x = 113,197,752.25
  5. Step 5: Solve for x
    x = 113,197,752.25/10,490.54
  6. Step 6: Final answer
    x = 10,790.47

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1.5x scale

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.