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Finding the Fourth Proportional to 7,811.25, 10,780.81 and 4,501.17

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Solution

The fourth proportional to 7,811.25, 10,780.81 and 4,501.17 is: 6,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.25 : 10,780.81 = 4,501.17 : x
  2. Step 2: Convert to fraction form
    7,811.25/10,780.81 = 4,501.17/x
  3. Step 3: Cross multiply
    7,811.25x = 10,780.81 × 4,501.17
  4. Step 4: Simplify right side
    7,811.25x = 48,526,258.55
  5. Step 5: Solve for x
    x = 48,526,258.55/7,811.25
  6. Step 6: Final answer
    x = 6,212.36

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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.