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Finding the Fourth Proportional to 7,782.96, 10,734.52 and 4,950.79

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Solution

The fourth proportional to 7,782.96, 10,734.52 and 4,950.79 is: 6,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.96 : 10,734.52 = 4,950.79 : x
  2. Step 2: Convert to fraction form
    7,782.96/10,734.52 = 4,950.79/x
  3. Step 3: Cross multiply
    7,782.96x = 10,734.52 × 4,950.79
  4. Step 4: Simplify right side
    7,782.96x = 53,144,354.27
  5. Step 5: Solve for x
    x = 53,144,354.27/7,782.96
  6. Step 6: Final answer
    x = 6,828.30

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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.