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Finding the Fourth Proportional to 7,802.58, 10,764.50 and 4,813.21

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Solution

The fourth proportional to 7,802.58, 10,764.50 and 4,813.21 is: 6,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.58 : 10,764.50 = 4,813.21 : x
  2. Step 2: Convert to fraction form
    7,802.58/10,764.50 = 4,813.21/x
  3. Step 3: Cross multiply
    7,802.58x = 10,764.50 × 4,813.21
  4. Step 4: Simplify right side
    7,802.58x = 51,811,799.05
  5. Step 5: Solve for x
    x = 51,811,799.05/7,802.58
  6. Step 6: Final answer
    x = 6,640.34

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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.