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Finding the Fourth Proportional to 8,505.04, 11,738.35 and 7,086.48

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Solution

The fourth proportional to 8,505.04, 11,738.35 and 7,086.48 is: 9,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.04 : 11,738.35 = 7,086.48 : x
  2. Step 2: Convert to fraction form
    8,505.04/11,738.35 = 7,086.48/x
  3. Step 3: Cross multiply
    8,505.04x = 11,738.35 × 7,086.48
  4. Step 4: Simplify right side
    8,505.04x = 83,183,582.51
  5. Step 5: Solve for x
    x = 83,183,582.51/8,505.04
  6. Step 6: Final answer
    x = 9,780.50

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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.