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Finding the Fourth Proportional to 7,065.78, 10,598.34 and 2,904.78

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Solution

The fourth proportional to 7,065.78, 10,598.34 and 2,904.78 is: 4,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.78 : 10,598.34 = 2,904.78 : x
  2. Step 2: Convert to fraction form
    7,065.78/10,598.34 = 2,904.78/x
  3. Step 3: Cross multiply
    7,065.78x = 10,598.34 × 2,904.78
  4. Step 4: Simplify right side
    7,065.78x = 30,785,846.07
  5. Step 5: Solve for x
    x = 30,785,846.07/7,065.78
  6. Step 6: Final answer
    x = 4,357.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.