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Finding the Fourth Proportional to 7,810.97, 10,782.81 and 4,828.55

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Solution

The fourth proportional to 7,810.97, 10,782.81 and 4,828.55 is: 6,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.97 : 10,782.81 = 4,828.55 : x
  2. Step 2: Convert to fraction form
    7,810.97/10,782.81 = 4,828.55/x
  3. Step 3: Cross multiply
    7,810.97x = 10,782.81 × 4,828.55
  4. Step 4: Simplify right side
    7,810.97x = 52,065,283.31
  5. Step 5: Solve for x
    x = 52,065,283.31/7,810.97
  6. Step 6: Final answer
    x = 6,665.67

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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.