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Finding the Fourth Proportional to 7,852.56, 10,828.92 and 7,279.92

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Solution

The fourth proportional to 7,852.56, 10,828.92 and 7,279.92 is: 10,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.56 : 10,828.92 = 7,279.92 : x
  2. Step 2: Convert to fraction form
    7,852.56/10,828.92 = 7,279.92/x
  3. Step 3: Cross multiply
    7,852.56x = 10,828.92 × 7,279.92
  4. Step 4: Simplify right side
    7,852.56x = 78,833,671.29
  5. Step 5: Solve for x
    x = 78,833,671.29/7,852.56
  6. Step 6: Final answer
    x = 10,039.23

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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.