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Finding the Fourth Proportional to 7,775.68, 10,730.62 and 4,238.88

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Solution

The fourth proportional to 7,775.68, 10,730.62 and 4,238.88 is: 5,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.68 : 10,730.62 = 4,238.88 : x
  2. Step 2: Convert to fraction form
    7,775.68/10,730.62 = 4,238.88/x
  3. Step 3: Cross multiply
    7,775.68x = 10,730.62 × 4,238.88
  4. Step 4: Simplify right side
    7,775.68x = 45,485,810.51
  5. Step 5: Solve for x
    x = 45,485,810.51/7,775.68
  6. Step 6: Final answer
    x = 5,849.75

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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.