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Finding the Fourth Proportional to 7,775.97, 10,734.60 and 4,945.51

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Solution

The fourth proportional to 7,775.97, 10,734.60 and 4,945.51 is: 6,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.97 : 10,734.60 = 4,945.51 : x
  2. Step 2: Convert to fraction form
    7,775.97/10,734.60 = 4,945.51/x
  3. Step 3: Cross multiply
    7,775.97x = 10,734.60 × 4,945.51
  4. Step 4: Simplify right side
    7,775.97x = 53,088,071.65
  5. Step 5: Solve for x
    x = 53,088,071.65/7,775.97
  6. Step 6: Final answer
    x = 6,827.20

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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.