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Finding the Fourth Proportional to 8,065.70, 11,140.10 and 7,356.31

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Solution

The fourth proportional to 8,065.70, 11,140.10 and 7,356.31 is: 10,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.70 : 11,140.10 = 7,356.31 : x
  2. Step 2: Convert to fraction form
    8,065.70/11,140.10 = 7,356.31/x
  3. Step 3: Cross multiply
    8,065.70x = 11,140.10 × 7,356.31
  4. Step 4: Simplify right side
    8,065.70x = 81,950,029.03
  5. Step 5: Solve for x
    x = 81,950,029.03/8,065.70
  6. Step 6: Final answer
    x = 10,160.31

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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.