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Finding the Fourth Proportional to 7,929, 10,942.58 and 4,785

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Solution

The fourth proportional to 7,929, 10,942.58 and 4,785 is: 6,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929 : 10,942.58 = 4,785 : x
  2. Step 2: Convert to fraction form
    7,929/10,942.58 = 4,785/x
  3. Step 3: Cross multiply
    7,929x = 10,942.58 × 4,785
  4. Step 4: Simplify right side
    7,929x = 52,360,245.30
  5. Step 5: Solve for x
    x = 52,360,245.30/7,929
  6. Step 6: Final answer
    x = 6,603.64

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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.